Properties

Label 260110a
Number of curves $1$
Conductor $260110$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 260110a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
260110.a1 260110a1 \([1, -1, 0, -65284, 6871888]\) \(-11993263569/972800\) \(-2495938650675200\) \([]\) \(4561920\) \(1.7007\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 260110a1 has rank \(2\).

Complex multiplication

The elliptic curves in class 260110a do not have complex multiplication.

Modular form 260110.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{2} - 3 q^{3} + q^{4} + q^{5} + 3 q^{6} - 5 q^{7} - q^{8} + 6 q^{9} - q^{10} - 4 q^{11} - 3 q^{12} + q^{13} + 5 q^{14} - 3 q^{15} + q^{16} + 3 q^{17} - 6 q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display