Properties

Label 180708l
Number of curves $1$
Conductor $180708$
CM no
Rank $1$

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

Elliptic curves in class 180708l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
180708.j1 180708l1 \([0, -1, 0, -246941344405, -47232188499445487]\) \(-1852044335558653867196416/473513931\) \(-425781236168413714803456\) \([]\) \(491028480\) \(4.8166\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 180708l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 180708l do not have complex multiplication.

Modular form 180708.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} + 2 q^{7} + q^{9} + q^{11} + 6 q^{13} - q^{15} + 4 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display