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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 312050.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
312050.n1 | 312050n1 | \([1, 1, 1, -549338, -147812469]\) | \(4826809/316\) | \(1200244311634937500\) | \([]\) | \(6988800\) | \(2.2189\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 312050.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 312050.n do not have complex multiplication.Modular form 312050.2.a.n
sage: E.q_eigenform(10)