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SageMath
E = EllipticCurve("eg1")
E.isogeny_class()
Elliptic curves in class 37440eg
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
37440.bw1 | 37440eg1 | \([0, 0, 0, -2388, -70562]\) | \(-32278933504/27421875\) | \(-1279395000000\) | \([]\) | \(53760\) | \(1.0207\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37440eg1 has rank \(0\).
Complex multiplication
The elliptic curves in class 37440eg do not have complex multiplication.Modular form 37440.2.a.eg
sage: E.q_eigenform(10)