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SageMath
E = EllipticCurve("n1")
E.isogeny_class()
Elliptic curves in class 92736n
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
92736.bn1 | 92736n1 | \([0, 0, 0, -13716, -661446]\) | \(-226534772736/18941489\) | \(-23860820991168\) | \([]\) | \(188160\) | \(1.3123\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 92736n1 has rank \(2\).
Complex multiplication
The elliptic curves in class 92736n do not have complex multiplication.Modular form 92736.2.a.n
sage: E.q_eigenform(10)