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SageMath
E = EllipticCurve("et1")
E.isogeny_class()
Elliptic curves in class 202800et
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
202800.y1 | 202800et1 | \([0, -1, 0, -123088, 17329792]\) | \(-417267265/19773\) | \(-9773106622156800\) | \([]\) | \(1548288\) | \(1.8309\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 202800et1 has rank \(2\).
Complex multiplication
The elliptic curves in class 202800et do not have complex multiplication.Modular form 202800.2.a.et
sage: E.q_eigenform(10)