Properties

Label 834.a
Number of curves $1$
Conductor $834$
CM no
Rank $1$

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

Elliptic curves in class 834.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
834.a1 834c1 \([1, 0, 1, 0, 10]\) \(12167/45036\) \(-45036\) \([]\) \(96\) \(-0.42813\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 834.a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 834.a do not have complex multiplication.

Modular form 834.2.a.a

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