Properties

Label 274550.a
Number of curves $1$
Conductor $274550$
CM no
Rank $0$

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

Elliptic curves in class 274550.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
274550.a1 274550a1 \([1, -1, 0, -344542, 83204116]\) \(-11993263569/972800\) \(-366891048800000000\) \([]\) \(10644480\) \(2.1165\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 274550.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 274550.a do not have complex multiplication.

Modular form 274550.2.a.a

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