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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 379050n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
379050.n1 | 379050n1 | \([1, 1, 0, -159075, -23317875]\) | \(3156941520625/170698752\) | \(24071191200000000\) | \([]\) | \(4989600\) | \(1.8994\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379050n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 379050n do not have complex multiplication.Modular form 379050.2.a.n
sage: E.q_eigenform(10)