Properties

Label 188760.cx
Number of curves $1$
Conductor $188760$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cx1")
 
E.isogeny_class()
 

Elliptic curves in class 188760.cx

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
188760.cx1 188760m1 \([0, 1, 0, -11498065, -22648867837]\) \(-25318105854976/18711151875\) \(-124241687284652102880000\) \([]\) \(23789568\) \(3.1308\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 188760.cx1 has rank \(0\).

Complex multiplication

The elliptic curves in class 188760.cx do not have complex multiplication.

Modular form 188760.2.a.cx

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + 3 q^{7} + q^{9} + q^{13} + q^{15} + 6 q^{17} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display