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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 3332.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3332.b1 | 3332b1 | \([0, -1, 0, 572, -5704]\) | \(14000/17\) | \(-25088413952\) | \([]\) | \(2016\) | \(0.68163\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3332.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3332.b do not have complex multiplication.Modular form 3332.2.a.b
sage: E.q_eigenform(10)