Show commands:
SageMath
E = EllipticCurve("hg1")
E.isogeny_class()
Elliptic curves in class 430950.hg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
430950.hg1 | 430950hg1 | \([1, 0, 0, 214700437, -2335536130383]\) | \(414491631408272360789951/1132262271188620848000\) | \(-2989880059857451926750000000\) | \([]\) | \(232243200\) | \(3.9557\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 430950.hg1 has rank \(1\).
Complex multiplication
The elliptic curves in class 430950.hg do not have complex multiplication.Modular form 430950.2.a.hg
sage: E.q_eigenform(10)