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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 7360.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7360.g1 | 7360r1 | \([0, -1, 0, -1, 185]\) | \(-256/14375\) | \(-14720000\) | \([]\) | \(1024\) | \(0.054285\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7360.g1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7360.g do not have complex multiplication.Modular form 7360.2.a.g
sage: E.q_eigenform(10)