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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 145794.e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
145794.e1 | 145794bj1 | \([1, 1, 0, -44033212507818, -112465350544613709996]\) | \(-396535398179707820597372045631529/57779298861318144\) | \(-1375799448302407257537940291584\) | \([]\) | \(5730600960\) | \(6.1047\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145794.e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 145794.e do not have complex multiplication.Modular form 145794.2.a.e
sage: E.q_eigenform(10)