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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 466578.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
466578.e1 | 466578e1 | \([1, -1, 0, 6249, 207773]\) | \(99981/128\) | \(-34546868447616\) | \([]\) | \(1717632\) | \(1.2837\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 466578.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 466578.e do not have complex multiplication.Modular form 466578.2.a.e
sage: E.q_eigenform(10)