Properties

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

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 88935x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88935.d1 88935x1 \([0, -1, 1, 180, -694]\) \(2207744/1875\) \(-544726875\) \([]\) \(54144\) \(0.36394\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88935x1 has rank \(1\).

Complex multiplication

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

Modular form 88935.2.a.x

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} - q^{3} + 2 q^{4} + q^{5} + 2 q^{6} + q^{9} - 2 q^{10} - 2 q^{12} - q^{13} - q^{15} - 4 q^{16} - 6 q^{17} - 2 q^{18} + 7 q^{19} + O(q^{20})\) Copy content Toggle raw display