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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 9464.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9464.e1 | 9464f1 | \([0, -1, 0, 180943, 19400549]\) | \(530208386048/439239619\) | \(-542752191013317376\) | \([]\) | \(112896\) | \(2.0907\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9464.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9464.e do not have complex multiplication.Modular form 9464.2.a.e
sage: E.q_eigenform(10)