Properties

Label 2760k
Number of curves $1$
Conductor $2760$
CM no
Rank $1$

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

Elliptic curves in class 2760k

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
2760.j1 2760k1 \([0, 1, 0, 7615, 1127283]\) \(190737654201344/2245153696875\) \(-574759346400000\) \([]\) \(9600\) \(1.5130\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 2760k1 has rank \(1\).

Complex multiplication

The elliptic curves in class 2760k do not have complex multiplication.

Modular form 2760.2.a.k

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