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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 116380.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
116380.e1 | 116380f1 | \([0, -1, 0, -331330, 185143025]\) | \(-1698323056384/5261609375\) | \(-12462512342381750000\) | \([]\) | \(1520640\) | \(2.3507\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 116380.e1 has rank \(2\).
Complex multiplication
The elliptic curves in class 116380.e do not have complex multiplication.Modular form 116380.2.a.e
sage: E.q_eigenform(10)