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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 8664.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8664.n1 | 8664m1 | \([0, 1, 0, -4129, 429203]\) | \(-4434684928/43046721\) | \(-75585909590784\) | \([]\) | \(25600\) | \(1.3453\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8664.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 8664.n do not have complex multiplication.Modular form 8664.2.a.n
sage: E.q_eigenform(10)