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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 160446bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
160446.k1 | 160446bb1 | \([1, 0, 1, -6295, -283318]\) | \(-227943056622193/153608369616\) | \(-18586612723536\) | \([]\) | \(666624\) | \(1.2467\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 160446bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 160446bb do not have complex multiplication.Modular form 160446.2.a.bb
sage: E.q_eigenform(10)