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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 450800bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
450800.bb1 | 450800bb1 | \([0, 1, 0, 64027, -6630317]\) | \(9834496/12167\) | \(-35911850888704000\) | \([]\) | \(3144960\) | \(1.8627\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450800bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 450800bb do not have complex multiplication.Modular form 450800.2.a.bb
sage: E.q_eigenform(10)