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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 3920bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3920.z1 | 3920bb1 | \([0, 1, 0, 915, -2185]\) | \(8192/5\) | \(-51652616960\) | \([]\) | \(2688\) | \(0.74484\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3920bb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3920bb do not have complex multiplication.Modular form 3920.2.a.bb
sage: E.q_eigenform(10)