Properties

Label 257600.ch
Number of curves $1$
Conductor $257600$
CM no
Rank $2$

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

Elliptic curves in class 257600.ch

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
257600.ch1 257600ch1 \([0, -1, 0, -61633, 14201537]\) \(-158034076225/438790688\) \(-71891466321920000\) \([]\) \(1843200\) \(1.9217\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 257600.ch1 has rank \(2\).

Complex multiplication

The elliptic curves in class 257600.ch do not have complex multiplication.

Modular form 257600.2.a.ch

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{7} - 2 q^{9} + 5 q^{11} - 2 q^{13} - 5 q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display