Properties

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

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Show commands: SageMath
E = EllipticCurve("ce1")
 
E.isogeny_class()
 

Elliptic curves in class 88935.ce

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88935.ce1 88935r1 \([0, -1, 1, -1839966, 1583713361]\) \(-1376628736/1366875\) \(-684014505222748651875\) \([]\) \(5080320\) \(2.6937\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88935.ce1 has rank \(1\).

Complex multiplication

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

Modular form 88935.2.a.ce

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