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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 458640bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
458640.bn1 | 458640bn1 | \([0, 0, 0, 81732, 233499308]\) | \(74251994112/29007265625\) | \(-23588415084780000000\) | \([]\) | \(8870400\) | \(2.3964\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 458640bn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 458640bn do not have complex multiplication.Modular form 458640.2.a.bn
sage: E.q_eigenform(10)