Properties

Label 292032ch
Number of curves $1$
Conductor $292032$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("ch1")
 
E.isogeny_class()
 

Elliptic curves in class 292032ch

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
292032.ch1 292032ch1 \([0, 0, 0, -9126, -355914]\) \(-13824\) \(-6080389219008\) \([]\) \(646272\) \(1.2026\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 292032ch1 has rank \(1\).

Complex multiplication

The elliptic curves in class 292032ch do not have complex multiplication.

Modular form 292032.2.a.ch

sage: E.q_eigenform(10)
 
\(q - 2 q^{5} + 3 q^{7} + 6 q^{11} + 2 q^{17} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display