Properties

Label 59248.l
Number of curves $1$
Conductor $59248$
CM no
Rank $1$

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

Elliptic curves in class 59248.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
59248.l1 59248t1 \([0, -1, 0, 2998, -547613]\) \(1257728/55223\) \(-130799774371952\) \([]\) \(101376\) \(1.3885\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 59248.l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 59248.l do not have complex multiplication.

Modular form 59248.2.a.l

sage: E.q_eigenform(10)
 
\(q - q^{3} + 2 q^{5} - q^{7} - 2 q^{9} - 2 q^{11} - q^{13} - 2 q^{15} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display