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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 6288.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6288.c1 | 6288f1 | \([0, -1, 0, -264, -3600]\) | \(-498677257/1145988\) | \(-4693966848\) | \([]\) | \(4032\) | \(0.54423\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6288.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6288.c do not have complex multiplication.Modular form 6288.2.a.c
sage: E.q_eigenform(10)