Properties

Label 88935.i
Number of curves $1$
Conductor $88935$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 88935.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88935.i1 88935bz1 \([0, 1, 1, -96840, 9939584]\) \(9834496/1485\) \(15165854487176085\) \([]\) \(967680\) \(1.8289\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88935.i1 has rank \(0\).

Complex multiplication

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

Modular form 88935.2.a.i

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