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SageMath
E = EllipticCurve("bb1")
E.isogeny_class()
Elliptic curves in class 3920.bb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3920.bb1 | 3920k1 | \([0, 1, 0, -5945, 174803]\) | \(-2249728/5\) | \(-51652616960\) | \([]\) | \(5376\) | \(0.93840\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3920.bb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 3920.bb do not have complex multiplication.Modular form 3920.2.a.bb
sage: E.q_eigenform(10)