Properties

Label 237160ch
Number of curves $1$
Conductor $237160$
CM no
Rank $1$

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

Elliptic curves in class 237160ch

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
237160.ch1 237160ch1 \([0, -1, 0, 1065244, 1703916425]\) \(12544/125\) \(-1332123722288400118000\) \([]\) \(9580032\) \(2.7346\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 237160ch1 has rank \(1\).

Complex multiplication

The elliptic curves in class 237160ch do not have complex multiplication.

Modular form 237160.2.a.ch

sage: E.q_eigenform(10)
 
\(q + 2 q^{3} - q^{5} + q^{9} - 3 q^{13} - 2 q^{15} + 2 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display