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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 250173bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
250173.bn1 | 250173bn1 | \([0, 0, 1, 14079, -1030565]\) | \(242970624/501809\) | \(-637417255465683\) | \([]\) | \(1797120\) | \(1.5251\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 250173bn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 250173bn do not have complex multiplication.Modular form 250173.2.a.bn
sage: E.q_eigenform(10)