Properties

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

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Show commands: SageMath
E = EllipticCurve("cn1")
 
E.isogeny_class()
 

Elliptic curves in class 88935cn

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88935.f1 88935cn1 \([0, 1, 1, -590, 9356]\) \(-3837374464/4428675\) \(-26257614075\) \([]\) \(95040\) \(0.69346\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88935cn1 has rank \(1\).

Complex multiplication

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

Modular form 88935.2.a.cn

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