Properties

Label 180336bl
Number of curves $1$
Conductor $180336$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bl1")
 
E.isogeny_class()
 

Elliptic curves in class 180336bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
180336.y1 180336bl1 \([0, -1, 0, -175230, 28421523]\) \(-5331387136/28431\) \(-3173244156881136\) \([]\) \(1028160\) \(1.8192\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 180336bl1 has rank \(1\).

Complex multiplication

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

Modular form 180336.2.a.bl

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