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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 6040.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6040.c1 | 6040i1 | \([0, -1, 0, -30060, 2016100]\) | \(-11734514422395856/294921875\) | \(-75500000000\) | \([]\) | \(14976\) | \(1.1955\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6040.c1 has rank \(2\).
Complex multiplication
The elliptic curves in class 6040.c do not have complex multiplication.Modular form 6040.2.a.c
sage: E.q_eigenform(10)