Properties

Label 59248k
Number of curves $1$
Conductor $59248$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("k1")
 
E.isogeny_class()
 

Elliptic curves in class 59248k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
59248.k1 59248k1 \([0, -1, 0, -14988, 715639]\) \(-157216000/1127\) \(-2669383150448\) \([]\) \(101376\) \(1.2168\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 59248k1 has rank \(1\).

Complex multiplication

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

Modular form 59248.2.a.k

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