Properties

Label 337561d
Number of curves $1$
Conductor $337561$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 337561d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
337561.d1 337561d1 \([1, 0, 1, 330528, -45144291]\) \(103823/83\) \(-3192529262878626923\) \([]\) \(4546080\) \(2.2385\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 337561d1 has rank \(1\).

Complex multiplication

The elliptic curves in class 337561d do not have complex multiplication.

Modular form 337561.2.a.d

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