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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 31737.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
31737.a1 | 31737a1 | \([0, -1, 1, -34, 90]\) | \(-4475809792/95211\) | \(-95211\) | \([]\) | \(9408\) | \(-0.25440\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 31737.a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 31737.a do not have complex multiplication.Modular form 31737.2.a.a
sage: E.q_eigenform(10)