Properties

Label 132600.cb
Number of curves $1$
Conductor $132600$
CM no
Rank $1$

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Show commands: 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)
 
\(q + q^{3} + 2 q^{7} + q^{9} - q^{13} + q^{17} + 8 q^{19} + O(q^{20})\) Copy content Toggle raw display