Properties

Label 292745779.a
Number of curves $1$
Conductor $292745779$
CM no
Rank $0$

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

Elliptic curves in class 292745779.a

sage: E.isogeny_class().curves
 
LMFDB label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height
292745779.a1 \([0, -1, 1, -3822462, -2875216289]\) \(-6176655163517297990053888/292745779\) \(-292745779\) \([]\) \(\) \(2.0246\)

Rank

sage: E.rank()
 

The elliptic curve 292745779.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 292745779.a do not have complex multiplication.

Modular form 292745779.2.a.a

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