Properties

Label 34914x
Number of curves $1$
Conductor $34914$
CM no
Rank $0$

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

Elliptic curves in class 34914x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
34914.y1 34914x1 \([1, 1, 1, -95408864, -357300541951]\) \(648817971720191270353/3006677182316544\) \(445096129620244670447616\) \([]\) \(9630720\) \(3.3881\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 34914x1 has rank \(0\).

Complex multiplication

The elliptic curves in class 34914x do not have complex multiplication.

Modular form 34914.2.a.x

sage: E.q_eigenform(10)
 
\(q + q^{2} - q^{3} + q^{4} + 3 q^{5} - q^{6} - q^{7} + q^{8} + q^{9} + 3 q^{10} + q^{11} - q^{12} - q^{13} - q^{14} - 3 q^{15} + q^{16} - 7 q^{17} + q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display