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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 97104.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
97104.e1 | 97104cf1 | \([0, -1, 0, 29008, -822336]\) | \(2280364702703/1560674304\) | \(-1847438843314176\) | \([]\) | \(587520\) | \(1.6180\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97104.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 97104.e do not have complex multiplication.Modular form 97104.2.a.e
sage: E.q_eigenform(10)