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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 124950.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
124950.n1 | 124950e1 | \([1, 1, 0, 110225, 62081125]\) | \(3947714094191/46599266304\) | \(-1748200599936000000\) | \([]\) | \(2358720\) | \(2.1813\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 124950.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 124950.n do not have complex multiplication.Modular form 124950.2.a.n
sage: E.q_eigenform(10)