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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 1710.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1710.g1 | 1710k1 | \([1, -1, 0, -429, -3547]\) | \(-11993263569/972800\) | \(-709171200\) | \([]\) | \(1232\) | \(0.44453\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1710.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 1710.g do not have complex multiplication.Modular form 1710.2.a.g
sage: E.q_eigenform(10)