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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 46410e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
46410.e1 | 46410e1 | \([1, 1, 0, -92228, -47906022]\) | \(-86759979851166011209/939636090468252450\) | \(-939636090468252450\) | \([]\) | \(1108800\) | \(2.1308\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 46410e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 46410e do not have complex multiplication.Modular form 46410.2.a.e
sage: E.q_eigenform(10)