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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 279174n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
279174.n1 | 279174n1 | \([1, 1, 0, 20871141, -37177938045]\) | \(144135475374099527/169049655861534\) | \(-1179249394774585066174494\) | \([]\) | \(47589120\) | \(3.3052\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 279174n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 279174n do not have complex multiplication.Modular form 279174.2.a.n
sage: E.q_eigenform(10)