Properties

Label 88725q
Number of curves $1$
Conductor $88725$
CM no
Rank $2$

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

Elliptic curves in class 88725q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88725.bc1 88725q1 \([0, -1, 1, -7323, -252757]\) \(-2129920/147\) \(-2997810399675\) \([]\) \(134784\) \(1.1451\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88725q1 has rank \(2\).

Complex multiplication

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

Modular form 88725.2.a.q

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