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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 6760m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6760.b1 | 6760m1 | \([0, 0, 0, -1027, 12571]\) | \(44302512384/390625\) | \(1056250000\) | \([]\) | \(7680\) | \(0.55504\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6760m1 has rank \(1\).
Complex multiplication
The elliptic curves in class 6760m do not have complex multiplication.Modular form 6760.2.a.m
sage: E.q_eigenform(10)