Properties

Label 156702cj
Number of curves $1$
Conductor $156702$
CM no
Rank $1$

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

Elliptic curves in class 156702cj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
156702.bi1 156702cj1 \([1, 0, 1, 153113, 30649322]\) \(8101546090110598727/12963389814925056\) \(-635206100931327744\) \([]\) \(3241728\) \(2.1012\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 156702cj1 has rank \(1\).

Complex multiplication

The elliptic curves in class 156702cj do not have complex multiplication.

Modular form 156702.2.a.cj

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} + 3 q^{5} - q^{6} - q^{8} + q^{9} - 3 q^{10} + 4 q^{11} + q^{12} - q^{13} + 3 q^{15} + q^{16} - 3 q^{17} - q^{18} + q^{19} + O(q^{20})\) Copy content Toggle raw display