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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 63426h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
63426.a1 | 63426h1 | \([1, 1, 0, -3042, -76140]\) | \(-104553677431/20785248\) | \(-619213323168\) | \([]\) | \(140800\) | \(0.98555\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63426h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 63426h do not have complex multiplication.Modular form 63426.2.a.h
sage: E.q_eigenform(10)