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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 51376.h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
51376.h1 | 51376j1 | \([0, -1, 0, -27096, 4602064]\) | \(-101306/361\) | \(-7840203312441344\) | \([]\) | \(209664\) | \(1.7357\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 51376.h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 51376.h do not have complex multiplication.Modular form 51376.2.a.h
sage: E.q_eigenform(10)