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SageMath
E = EllipticCurve("fo1")
E.isogeny_class()
Elliptic curves in class 37440.fo
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
37440.fo1 | 37440fw1 | \([0, 0, 0, -3792, 137824]\) | \(-504871936/394875\) | \(-4716361728000\) | \([]\) | \(61440\) | \(1.1305\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 37440.fo1 has rank \(1\).
Complex multiplication
The elliptic curves in class 37440.fo do not have complex multiplication.Modular form 37440.2.a.fo
sage: E.q_eigenform(10)