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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 76440y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
76440.ci1 | 76440y1 | \([0, 1, 0, -315331, -68271190]\) | \(-767228471296/142155\) | \(-642484304345520\) | \([]\) | \(555072\) | \(1.8437\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 76440y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 76440y do not have complex multiplication.Modular form 76440.2.a.y
sage: E.q_eigenform(10)