{{{id=1|
E=EllipticCurve([0,-1,1,-10,-20]);
///
}}}

{{{id=13|
E.c4()
///
}}}

{{{id=5|
E.discriminant()
///
}}}

{{{id=14|
factor(-161051)
///
}}}

{{{id=23|
E.conductor()
///
}}}

{{{id=24|
E.local_data()
///
}}}

{{{id=95|
E
///
}}}

{{{id=92|
E.has_cm()
///
}}}

{{{id=93|
Lambda=E.period_lattice()
///
}}}

{{{id=96|
Lambda
///
}}}

{{{id=94|
Lambda.basis()
///
}}}

{{{id=7|
E.torsion_points()
///
}}}

{{{id=12|
E.two_descent()
///
}}}

{{{id=25|
E.analytic_rank()
///
}}}

{{{id=26|
E.root_number()
///
}}}

{{{id=15|
E.tamagawa_numbers()
///
}}}

{{{id=17|
E.prove_BSD()
///
}}}

{{{id=19|
E.anlist(100)
///
}}}

{{{id=21|
E.q_expansion(100)
///
}}}

{{{id=22|
E.ap(5)
///
}}}

{{{id=32|
E2=EllipticCurve([1,-1,0,-79,289])
///
}}}

{{{id=35|
E2.conductor()
///
}}}

{{{id=97|
factor(234446)
///
}}}

{{{id=36|
E2.local_data()
///
}}}

{{{id=33|
E2.two_descent()
///
}}}

{{{id=34|
E2.analytic_rank()
///
}}}

{{{id=98|
E2.gens()
///
}}}

{{{id=37|
E2.prove_BSD()
///
}}}

{{{id=38|
E2.heegner_discriminants(100)
///
}}}

{{{id=40|
P=E2.heegner_point(-7)
///
}}}

{{{id=41|
P.point_exact(prec=200)
///
}}}

{{{id=43|
E2.torsion_points()
///
}}}

{{{id=44|
E3=EllipticCurve('3879h2')
///
}}}

{{{id=99|
factor(3879)
///
}}}

{{{id=100|
E3.local_data()
///
}}}

{{{id=52|
E3
///
}}}

{{{id=45|
E3.analytic_rank()
///
}}}

{{{id=47|
E3.gens()
///
}}}

{{{id=49|
E3.heegner_discriminants(50)
///
}}}

{{{id=51|
P3=E3.heegner_point(-35)
///
}}}

{{{id=53|
Q3=P3.point_exact(prec=2000)
///
}}}

{{{id=73|
Q3
///
}}}

{{{id=71|
Q3.parent()
///
}}}

{{{id=76|
H.<a>=QQ.extension(x^2 - 31175506233152986480443392640*x +2852019750447497486262003538141774337195168858431590400)
///
}}}

{{{id=79|
EH=EllipticCurve(H,[1,-1,0,-34911,- 2501928])
///
}}}

{{{id=74|
Q3conj=EH(1/423991488792912568422400*(-a+31175506233152986480443392640),335055842883802592459611398276097059/524095985481430923568483317323528515343046998672236544000*(-a+31175506233152986480443392640)-
2105790791399495458387824140776612164419/35959280012805711568821983005107200)
///
}}}

{{{id=77|
Q3+Q3conj
///
}}}

{{{id=78|
E3.heegner_index(-35)
///
}}}

{{{id=80|
Gen=E3.gens()[0]
///
}}}

{{{id=101|
Gen
///
}}}

{{{id=81|
2*Gen
///
}}}

{{{id=82|
E4=EllipticCurve([0, 0, 0, -24649, 0])
///
}}}

{{{id=84|
E4.gens()
///
}}}

{{{id=85|
E4.heegner_discriminants(100)
///
}}}

{{{id=86|
P4=E4.heegner_point(-31)
///
}}}

{{{id=87|
Q4=P4.point_exact(prec=2000)
///
}}}

{{{id=91|

///
}}}