Properties

Label 156702.a
Number of curves $1$
Conductor $156702$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 156702.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
156702.a1 156702ck1 \([1, 1, 0, 7502561, -10505214971]\) \(8101546090110598727/12963389814925056\) \(-74731362568469777753856\) \([]\) \(22692096\) \(3.0742\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 156702.a1 has rank \(1\).

Complex multiplication

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

Modular form 156702.2.a.a

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