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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 97461h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
97461.n1 | 97461h1 | \([0, 0, 1, -8148, -292910]\) | \(-239251750912/9771957\) | \(-2443448531979\) | \([]\) | \(167936\) | \(1.1446\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97461h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 97461h do not have complex multiplication.Modular form 97461.2.a.h
sage: E.q_eigenform(10)