Properties

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

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Show commands: SageMath
E = EllipticCurve("bl1")
 
E.isogeny_class()
 

Elliptic curves in class 88935.bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88935.bl1 88935ce1 \([0, 1, 1, -778675, 854602711]\) \(-250523582464/1369738755\) \(-285484211417243649195\) \([]\) \(2304000\) \(2.6091\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88935.bl1 has rank \(1\).

Complex multiplication

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

Modular form 88935.2.a.bl

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