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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 5712.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5712.g1 | 5712a1 | \([0, -1, 0, 119, -17003]\) | \(721888256/486008019\) | \(-124418052864\) | \([]\) | \(3840\) | \(0.80795\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5712.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5712.g do not have complex multiplication.Modular form 5712.2.a.g
sage: E.q_eigenform(10)