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SageMath
E = EllipticCurve("g1")
E.isogeny_class()
Elliptic curves in class 71148.g
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
71148.g1 | 71148bc1 | \([0, -1, 0, -22997, 1180929]\) | \(369098752/50421\) | \(183749019573504\) | \([]\) | \(276480\) | \(1.4640\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 71148.g1 has rank \(0\).
Complex multiplication
The elliptic curves in class 71148.g do not have complex multiplication.Modular form 71148.2.a.g
sage: E.q_eigenform(10)