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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 441864.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
441864.bb1 | 441864bb1 | \([0, 0, 0, 38988, 740772]\) | \(27648/17\) | \(-4029969737546496\) | \([]\) | \(1351296\) | \(1.6835\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 441864.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 441864.bb do not have complex multiplication.Modular form 441864.2.a.bb
sage: E.q_eigenform(10)