Properties

Label 12480.ch
Number of curves $1$
Conductor $12480$
CM no
Rank $1$

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

Elliptic curves in class 12480.ch

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
12480.ch1 12480cn1 \([0, 1, 0, -1, 5]\) \(-4096/195\) \(-12480\) \([]\) \(960\) \(-0.53401\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 12480.ch1 has rank \(1\).

Complex multiplication

The elliptic curves in class 12480.ch do not have complex multiplication.

Modular form 12480.2.a.ch

sage: E.q_eigenform(10)
 
\(q + q^{3} - q^{5} + 3 q^{7} + q^{9} - 5 q^{11} - q^{13} - q^{15} + 5 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display