Properties

Label 331240ch
Number of curves $1$
Conductor $331240$
CM no
Rank $1$

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

Elliptic curves in class 331240ch

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
331240.ch1 331240ch1 \([0, 1, 0, -20505, 1125515]\) \(-2249728/5\) \(-2119162223360\) \([]\) \(677376\) \(1.2479\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 331240ch1 has rank \(1\).

Complex multiplication

The elliptic curves in class 331240ch do not have complex multiplication.

Modular form 331240.2.a.ch

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} - 2 q^{9} + 5 q^{11} + q^{15} - 3 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display