Properties

Label 88935cj
Number of curves $1$
Conductor $88935$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("cj1")
 
E.isogeny_class()
 

Elliptic curves in class 88935cj

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88935.w1 88935cj1 \([1, 0, 0, -7400, -261843]\) \(-7558595228569/597871125\) \(-3544777900125\) \([]\) \(145152\) \(1.1550\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88935cj1 has rank \(1\).

Complex multiplication

The elliptic curves in class 88935cj do not have complex multiplication.

Modular form 88935.2.a.cj

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} - q^{4} + q^{5} - q^{6} + 3 q^{8} + q^{9} - q^{10} - q^{12} + 4 q^{13} + q^{15} - q^{16} - q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display