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SageMath
E = EllipticCurve("cb1")
E.isogeny_class()
Elliptic curves in class 132600.cb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
132600.cb1 | 132600e1 | \([0, 1, 0, -73, 683]\) | \(-1362944/5967\) | \(-190944000\) | \([]\) | \(37632\) | \(0.27390\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 132600.cb1 has rank \(1\).
Complex multiplication
The elliptic curves in class 132600.cb do not have complex multiplication.Modular form 132600.2.a.cb
sage: E.q_eigenform(10)