Properties

Label 5915.k
Number of curves $1$
Conductor $5915$
CM no
Rank $0$

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

Elliptic curves in class 5915.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
5915.k1 5915h1 \([0, 0, 1, -2197, 207067]\) \(-1437696/21875\) \(-17844109521875\) \([]\) \(39000\) \(1.2241\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 5915.k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 5915.k do not have complex multiplication.

Modular form 5915.2.a.k

sage: E.q_eigenform(10)
 
\(q + 2 q^{2} + 3 q^{3} + 2 q^{4} + q^{5} + 6 q^{6} - q^{7} + 6 q^{9} + 2 q^{10} - 3 q^{11} + 6 q^{12} - 2 q^{14} + 3 q^{15} - 4 q^{16} + 6 q^{17} + 12 q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display