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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 357390.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
357390.n1 | 357390n1 | \([1, -1, 0, -216072105, -1222440674275]\) | \(-434924753174693143443/943179076400\) | \(-2419356423498766765200\) | \([]\) | \(45909504\) | \(3.3500\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 357390.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 357390.n do not have complex multiplication.Modular form 357390.2.a.n
sage: E.q_eigenform(10)