Properties

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

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Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 88935.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
88935.l1 88935c1 \([1, 1, 1, -362601, 89449548]\) \(-7558595228569/597871125\) \(-417039575171806125\) \([]\) \(1016064\) \(2.1280\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 88935.l1 has rank \(2\).

Complex multiplication

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

Modular form 88935.2.a.l

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