Properties

Label 35550.x
Number of curves $1$
Conductor $35550$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("x1")
 
E.isogeny_class()
 

Elliptic curves in class 35550.x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
35550.x1 35550m1 \([1, -1, 0, -792, -7884]\) \(4826809/316\) \(3599437500\) \([]\) \(33600\) \(0.58346\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 35550.x1 has rank \(0\).

Complex multiplication

The elliptic curves in class 35550.x do not have complex multiplication.

Modular form 35550.2.a.x

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + 3 q^{7} - q^{8} - 4 q^{11} + 7 q^{13} - 3 q^{14} + q^{16} - 4 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display