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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 290680c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
290680.c1 | 290680c1 | \([0, 1, 0, -56, -70160]\) | \(-2/215\) | \(-2125340538880\) | \([]\) | \(524160\) | \(1.0443\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 290680c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 290680c do not have complex multiplication.Modular form 290680.2.a.c
sage: E.q_eigenform(10)