Properties

Label 88725b
Number of curves $1$
Conductor $88725$
CM no
Rank $1$

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

Elliptic curves in class 88725b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88725.y1 88725b1 \([0, -1, 1, -75210633, 251446726793]\) \(-21842779439104/37059435\) \(-79827465904313208046875\) \([]\) \(10063872\) \(3.2895\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88725b1 has rank \(1\).

Complex multiplication

The elliptic curves in class 88725b do not have complex multiplication.

Modular form 88725.2.a.b

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{4} - q^{7} + q^{9} + q^{11} + 2 q^{12} + 4 q^{16} - 7 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display