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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 414736.n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
414736.n1 | 414736n1 | \([0, -1, 0, -8640, -3861269]\) | \(-256/23\) | \(-6409188944225648\) | \([]\) | \(3041280\) | \(1.7126\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 414736.n1 has rank \(1\).
Complex multiplication
The elliptic curves in class 414736.n do not have complex multiplication.Modular form 414736.2.a.n
sage: E.q_eigenform(10)