Properties

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

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 88935bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88935.r1 88935bb1 \([1, 1, 1, -85, -1660]\) \(-1042139/16875\) \(-1100570625\) \([]\) \(34560\) \(0.41620\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88935bb1 has rank \(1\).

Complex multiplication

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

Modular form 88935.2.a.bb

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} - q^{4} + q^{5} + q^{6} + 3 q^{8} + q^{9} - q^{10} + q^{12} + 2 q^{13} - q^{15} - q^{16} + 5 q^{17} - q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display