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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 207368bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
207368.w1 | 207368bb1 | \([0, 1, 0, -112324, 14955457]\) | \(-562432/23\) | \(-6409188944225648\) | \([]\) | \(1216512\) | \(1.8006\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 207368bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 207368bb do not have complex multiplication.Modular form 207368.2.a.bb
sage: E.q_eigenform(10)