Properties

Label 185150cj
Number of curves $1$
Conductor $185150$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cj1")
 
E.isogeny_class()
 

Elliptic curves in class 185150cj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
185150.t1 185150cj1 \([1, 0, 1, 462599, -55630052]\) \(8947391/6272\) \(-7674476557538000000\) \([]\) \(3709440\) \(2.3122\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 185150cj1 has rank \(0\).

Complex multiplication

The elliptic curves in class 185150cj do not have complex multiplication.

Modular form 185150.2.a.cj

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