Properties

Label 162624cb
Number of curves $1$
Conductor $162624$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("cb1")
 
E.isogeny_class()
 

Elliptic curves in class 162624cb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
162624.n1 162624cb1 \([0, -1, 0, -187227, 31243401]\) \(52906619392/1701\) \(23335965221184\) \([]\) \(929280\) \(1.6599\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 162624cb1 has rank \(0\).

Complex multiplication

The elliptic curves in class 162624cb do not have complex multiplication.

Modular form 162624.2.a.cb

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