Properties

Label 162288.b
Number of curves $1$
Conductor $162288$
CM no
Rank $0$

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

Elliptic curves in class 162288.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
162288.b1 162288ep1 \([0, 0, 0, -147, -8575]\) \(-256/23\) \(-31561932528\) \([]\) \(172800\) \(0.69420\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 162288.b1 has rank \(0\).

Complex multiplication

The elliptic curves in class 162288.b do not have complex multiplication.

Modular form 162288.2.a.b

sage: E.q_eigenform(10)
 
\(q - 4 q^{5} - 4 q^{11} + 5 q^{13} - 2 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display