Properties

Label 151725.bo
Number of curves $1$
Conductor $151725$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bo1")
 
E.isogeny_class()
 

Elliptic curves in class 151725.bo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
151725.bo1 151725ce1 \([0, -1, 1, -255283, 73478718]\) \(-4878401536/3346875\) \(-1262272285107421875\) \([]\) \(1658880\) \(2.1737\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 151725.bo1 has rank \(1\).

Complex multiplication

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

Modular form 151725.2.a.bo

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{4} - q^{7} + q^{9} + 2 q^{11} + 2 q^{12} - 3 q^{13} + 4 q^{16} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display