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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 299538.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
299538.n1 | 299538n1 | \([1, -1, 1, 221533, -88941725]\) | \(3221199/11008\) | \(-4108957994817854208\) | \([]\) | \(8515584\) | \(2.2547\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 299538.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 299538.n do not have complex multiplication.Modular form 299538.2.a.n
sage: E.q_eigenform(10)