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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 145794bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
145794.g1 | 145794bk1 | \([1, 1, 0, -305081722, -2051167212908]\) | \(-59702662883209/278784\) | \(-14663796481233644380416\) | \([]\) | \(42448896\) | \(3.4559\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 145794bk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 145794bk do not have complex multiplication.Modular form 145794.2.a.bk
sage: E.q_eigenform(10)