Properties

Label 180336.l
Number of curves $1$
Conductor $180336$
CM no
Rank $1$

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

Elliptic curves in class 180336.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
180336.l1 180336bd1 \([0, -1, 0, 8744, -257936]\) \(62452050119/59875686\) \(-70877484048384\) \([]\) \(304128\) \(1.3448\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 180336.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 180336.l do not have complex multiplication.

Modular form 180336.2.a.l

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