Properties

Label 2184.b
Number of curves $1$
Conductor $2184$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 2184.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2184.b1 2184d1 \([0, -1, 0, -110879497, 449437602349]\) \(-588894491652244161881463808/13658611812026920011\) \(-3496604623878891522816\) \([]\) \(443520\) \(3.2465\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2184.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 2184.b do not have complex multiplication.

Modular form 2184.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} + q^{7} + q^{9} + 6 q^{11} - q^{13} + 3 q^{15} - 8 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display