Properties

Label 88935bl
Number of curves $1$
Conductor $88935$
CM no
Rank $2$

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

Elliptic curves in class 88935bl

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88935.t1 88935bl1 \([1, 0, 0, -4166, 556821]\) \(-1042139/16875\) \(-129481033460625\) \([]\) \(241920\) \(1.3892\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88935bl1 has rank \(2\).

Complex multiplication

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

Modular form 88935.2.a.bl

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