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SageMath
E = EllipticCurve("bk1")
E.isogeny_class()
Elliptic curves in class 9792bk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9792.q1 | 9792bk1 | \([0, 0, 0, -318, -2194]\) | \(-76225024/459\) | \(-21415104\) | \([]\) | \(1536\) | \(0.24626\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9792bk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9792bk do not have complex multiplication.Modular form 9792.2.a.bk
sage: E.q_eigenform(10)