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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 284592bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
284592.bk1 | 284592bk1 | \([0, -1, 0, 5031, -287307]\) | \(78848/243\) | \(-43392625613568\) | \([]\) | \(604800\) | \(1.3001\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 284592bk1 has rank \(0\).
Complex multiplication
The elliptic curves in class 284592bk do not have complex multiplication.Modular form 284592.2.a.bk
sage: E.q_eigenform(10)