Properties

Label 180336bf
Number of curves $1$
Conductor $180336$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bf1")
 
E.isogeny_class()
 

Elliptic curves in class 180336bf

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
180336.n1 180336bf1 \([0, -1, 0, -2816, 49152]\) \(2086979041/359424\) \(425466003456\) \([]\) \(311040\) \(0.95166\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 180336bf1 has rank \(0\).

Complex multiplication

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

Modular form 180336.2.a.bf

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