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SageMath
E = EllipticCurve("m1")
E.isogeny_class()
Elliptic curves in class 13760m
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
13760.a1 | 13760m1 | \([0, 1, 0, -1, 255]\) | \(-2/215\) | \(-28180480\) | \([]\) | \(3584\) | \(0.10840\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 13760m1 has rank \(2\).
Complex multiplication
The elliptic curves in class 13760m do not have complex multiplication.Modular form 13760.2.a.m
sage: E.q_eigenform(10)