Properties

Label 156702cp
Number of curves $1$
Conductor $156702$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cp1")
 
E.isogeny_class()
 

Elliptic curves in class 156702cp

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
156702.g1 156702cp1 \([1, 1, 0, -1155613, -478634729]\) \(-497585178493511297743/69681481038\) \(-23900747996034\) \([]\) \(1647360\) \(1.9780\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 156702cp1 has rank \(0\).

Complex multiplication

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

Modular form 156702.2.a.cp

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