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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 26702g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26702.i1 | 26702g1 | \([1, 1, 1, -595, 5013]\) | \(4826809/316\) | \(1525271644\) | \([]\) | \(14112\) | \(0.51191\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26702g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 26702g do not have complex multiplication.Modular form 26702.2.a.g
sage: E.q_eigenform(10)