Properties

Label 151725bh
Number of curves $1$
Conductor $151725$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bh1")
 
E.isogeny_class()
 

Elliptic curves in class 151725bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
151725.r1 151725bh1 \([1, 1, 1, -14367063, -20966418594]\) \(-72628961394279272329/24608375505\) \(-111122195639765625\) \([]\) \(4821120\) \(2.6279\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 151725bh1 has rank \(1\).

Complex multiplication

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

Modular form 151725.2.a.bh

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