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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 376712.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
376712.bb1 | 376712bb1 | \([0, 1, 0, -15696, 327737696]\) | \(-2/217\) | \(-46403216922245679104\) | \([]\) | \(5898240\) | \(2.4525\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 376712.bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 376712.bb do not have complex multiplication.Modular form 376712.2.a.bb
sage: E.q_eigenform(10)