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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 236992.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
236992.h1 | 236992h1 | \([0, 1, 0, -26097, 1614031]\) | \(-226796578768/2401\) | \(-20809793536\) | \([]\) | \(460800\) | \(1.1361\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 236992.h1 has rank \(2\).
Complex multiplication
The elliptic curves in class 236992.h do not have complex multiplication.Modular form 236992.2.a.h
sage: E.q_eigenform(10)