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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 40432.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
40432.e1 | 40432i1 | \([0, -1, 0, -13116, 582547]\) | \(119681400064/2401\) | \(5006411536\) | \([]\) | \(39168\) | \(0.98179\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 40432.e1 has rank \(2\).
Complex multiplication
The elliptic curves in class 40432.e do not have complex multiplication.Modular form 40432.2.a.e
sage: E.q_eigenform(10)