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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 318096.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
318096.n1 | 318096n1 | \([0, 0, 0, -3923184, -1134577744]\) | \(207474688/102789\) | \(3308424778899175624704\) | \([]\) | \(19783680\) | \(2.8223\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 318096.n1 has rank \(0\).
Complex multiplication
The elliptic curves in class 318096.n do not have complex multiplication.Modular form 318096.2.a.n
sage: E.q_eigenform(10)