Properties

Label 13650.ci
Number of curves $1$
Conductor $13650$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("ci1")
 
E.isogeny_class()
 

Elliptic curves in class 13650.ci

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
13650.ci1 13650by1 \([1, 1, 1, -188, -1219]\) \(-47045881/8736\) \(-136500000\) \([]\) \(5600\) \(0.28546\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 13650.ci1 has rank \(0\).

Complex multiplication

The elliptic curves in class 13650.ci do not have complex multiplication.

Modular form 13650.2.a.ci

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} - q^{6} + q^{7} + q^{8} + q^{9} + 3 q^{11} - q^{12} + q^{13} + q^{14} + q^{16} - 5 q^{17} + q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display