Properties

Label 348843.a
Number of curves $1$
Conductor $348843$
CM no
Rank $0$

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

Elliptic curves in class 348843.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
348843.a1 348843a1 \([0, 1, 1, 426364, 20335178]\) \(45056/27\) \(-5136595990448605947\) \([]\) \(11868120\) \(2.2795\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 348843.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 348843.a do not have complex multiplication.

Modular form 348843.2.a.a

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