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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 185130.bn
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 185130.bn1 | 185130cv1 | \([1, -1, 0, -80757227304, 8833990362903360]\) | \(-45100802713464654722769650329/4293192974400000000000\) | \(-5544521211173436993600000000000\) | \([]\) | \(646272000\) | \(4.9360\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 185130.bn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 185130.bn do not have complex multiplication.Modular form 185130.2.a.bn
sage: E.q_eigenform(10)