Properties

Label 151725q
Number of curves $1$
Conductor $151725$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 151725q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
151725.bd1 151725q1 \([1, 0, 0, -4152081213, -102978949982958]\) \(-72628961394279272329/24608375505\) \(-2682219664686341917265625\) \([]\) \(81959040\) \(4.0445\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 151725q1 has rank \(0\).

Complex multiplication

The elliptic curves in class 151725q do not have complex multiplication.

Modular form 151725.2.a.q

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} - q^{4} - q^{6} + q^{7} + 3 q^{8} + q^{9} - q^{11} - q^{12} + q^{13} - q^{14} - q^{16} - q^{18} + O(q^{20})\) Copy content Toggle raw display