Properties

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

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 88935j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88935.bb1 88935j1 \([0, -1, 1, -387361, 91888026]\) \(12845056/165\) \(82569652207958685\) \([]\) \(806400\) \(2.0546\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88935j1 has rank \(1\).

Complex multiplication

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

Modular form 88935.2.a.j

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