Properties

Label 59976k
Number of curves $1$
Conductor $59976$
CM no
Rank $1$

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

Elliptic curves in class 59976k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
59976.t1 59976k1 \([0, 0, 0, -41948508, 104573822164]\) \(-371806976516936704/89266779\) \(-1959952734462530304\) \([]\) \(2064384\) \(2.8879\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 59976k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 59976k do not have complex multiplication.

Modular form 59976.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{11} + q^{13} - q^{17} - 5 q^{19} + O(q^{20})\) Copy content Toggle raw display