Properties

Label 88725bb
Number of curves $1$
Conductor $88725$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 88725bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88725.w1 88725bb1 \([0, -1, 1, 190407, 28385138]\) \(44302336/45927\) \(-791428369393627875\) \([]\) \(1038336\) \(2.1212\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88725bb1 has rank \(0\).

Complex multiplication

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

Modular form 88725.2.a.bb

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