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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 7360c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7360.w1 | 7360c1 | \([0, -1, 0, -31, 81]\) | \(-53157376/2875\) | \(-184000\) | \([]\) | \(576\) | \(-0.23127\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7360c1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7360c do not have complex multiplication.Modular form 7360.2.a.c
sage: E.q_eigenform(10)