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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 67760e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67760.h1 | 67760e1 | \([0, -1, 0, 80304, -18742304]\) | \(130454302/420175\) | \(-184459761303910400\) | \([]\) | \(506880\) | \(1.9962\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67760e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 67760e do not have complex multiplication.Modular form 67760.2.a.e
sage: E.q_eigenform(10)