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SageMath
E = EllipticCurve("bn1")
E.isogeny_class()
Elliptic curves in class 194922bn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
194922.ey1 | 194922bn1 | \([1, -1, 1, 5944, -491151]\) | \(270840023/1364454\) | \(-117023926862934\) | \([]\) | \(626688\) | \(1.3817\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 194922bn1 has rank \(1\).
Complex multiplication
The elliptic curves in class 194922bn do not have complex multiplication.Modular form 194922.2.a.bn
sage: E.q_eigenform(10)