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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 281775.bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
281775.bk1 | 281775bk1 | \([1, 1, 0, -425575, 106770250]\) | \(-15101696859749/14414517\) | \(-8136319166015625\) | \([]\) | \(2903040\) | \(1.9746\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 281775.bk1 has rank \(2\).
Complex multiplication
The elliptic curves in class 281775.bk do not have complex multiplication.Modular form 281775.2.a.bk
sage: E.q_eigenform(10)