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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 67270.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
67270.bb1 | 67270be1 | \([1, 1, 1, -5786, 101823]\) | \(24137569/8680\) | \(7703531951080\) | \([]\) | \(138240\) | \(1.1735\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 67270.bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 67270.bb do not have complex multiplication.Modular form 67270.2.a.bb
sage: E.q_eigenform(10)