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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 215950.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
215950.n1 | 215950z1 | \([1, 0, 1, -27791, 1820098]\) | \(-94945363574635345/2444985761792\) | \(-61124644044800\) | \([]\) | \(920448\) | \(1.4287\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215950.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 215950.n do not have complex multiplication.Modular form 215950.2.a.n
sage: E.q_eigenform(10)