Properties

Label 2697179.a
Number of curves $1$
Conductor $2697179$
CM no
Rank $4$

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

Elliptic curves in class 2697179.a

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
2697179.a1 \([0, -1, 1, -46, 160]\) \(-11000295424/2697179\) \(-2697179\) \([]\) \(983152\) \(-0.047748\)

Rank

sage: E.rank()
 

The elliptic curve 2697179.a1 has rank \(4\).

Complex multiplication

The elliptic curves in class 2697179.a do not have complex multiplication.

Modular form 2697179.2.a.a

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