Properties

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

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 156702.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
156702.l1 156702cv1 \([1, 1, 0, -122917, -16655603]\) \(-1745729089577929/2114671104\) \(-248788940714496\) \([]\) \(870912\) \(1.6728\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 156702.l1 has rank \(1\).

Complex multiplication

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

Modular form 156702.2.a.l

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