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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 85176bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
85176.u1 | 85176bb1 | \([0, 0, 0, -85683, 12738206]\) | \(-114244/49\) | \(-29838046294877184\) | \([]\) | \(599040\) | \(1.8688\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 85176bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 85176bb do not have complex multiplication.Modular form 85176.2.a.bb
sage: E.q_eigenform(10)