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SageMath
E = EllipticCurve("e1")
E.isogeny_class()
Elliptic curves in class 363726e
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
363726.e1 | 363726e1 | \([1, -1, 0, 613629, 58680661]\) | \(19785968032823/12608077824\) | \(-16282928660355219456\) | \([]\) | \(9538560\) | \(2.3754\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 363726e1 has rank \(0\).
Complex multiplication
The elliptic curves in class 363726e do not have complex multiplication.Modular form 363726.2.a.e
sage: E.q_eigenform(10)