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SageMath
E = EllipticCurve("hv1")
E.isogeny_class()
Elliptic curves in class 88200.hv
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
88200.hv1 | 88200hg1 | \([0, 0, 0, 5145, 4453855]\) | \(1280/729\) | \(-8578224503074800\) | \([]\) | \(516096\) | \(1.7364\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88200.hv1 has rank \(0\).
Complex multiplication
The elliptic curves in class 88200.hv do not have complex multiplication.Modular form 88200.2.a.hv
sage: E.q_eigenform(10)