Properties

Label 10080.k
Number of curves $1$
Conductor $10080$
CM no
Rank $0$

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

Elliptic curves in class 10080.k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
10080.k1 10080l1 \([0, 0, 0, 312, 12112]\) \(1124864/21875\) \(-65318400000\) \([]\) \(9600\) \(0.75560\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 10080.k1 has rank \(0\).

Complex multiplication

The elliptic curves in class 10080.k do not have complex multiplication.

Modular form 10080.2.a.k

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{7} + 3 q^{11} - 7 q^{13} + 5 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display