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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 287490.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
287490.e1 | 287490e1 | \([1, 1, 0, -362813, 89281917]\) | \(-2058561081361/155400000\) | \(-398713883958600000\) | \([]\) | \(6566400\) | \(2.1256\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 287490.e1 has rank \(1\).
Complex multiplication
The elliptic curves in class 287490.e do not have complex multiplication.Modular form 287490.2.a.e
sage: E.q_eigenform(10)