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SageMath
E = EllipticCurve("ey1")
E.isogeny_class()
Elliptic curves in class 114240ey
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
114240.kj1 | 114240ey1 | \([0, 1, 0, -19039405, 31975155653]\) | \(-11926249134908509075308544/2246680441062421875\) | \(-143787548227995000000\) | \([]\) | \(6048000\) | \(2.8694\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 114240ey1 has rank \(1\).
Complex multiplication
The elliptic curves in class 114240ey do not have complex multiplication.Modular form 114240.2.a.ey
sage: E.q_eigenform(10)