Properties

Label 69360ch
Number of curves $1$
Conductor $69360$
CM no
Rank $0$

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

Elliptic curves in class 69360ch

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
69360.f1 69360ch1 \([0, -1, 0, -355566, -81510609]\) \(-12872772702976/3984375\) \(-1538770023750000\) \([]\) \(580608\) \(1.8906\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 69360ch1 has rank \(0\).

Complex multiplication

The elliptic curves in class 69360ch do not have complex multiplication.

Modular form 69360.2.a.ch

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 3 q^{7} + q^{9} + 3 q^{11} - 4 q^{13} + q^{15} - q^{19} + O(q^{20})\) Copy content Toggle raw display