Properties

Label 33810x
Number of curves $1$
Conductor $33810$
CM no
Rank $0$

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

Elliptic curves in class 33810x

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33810.o1 33810x1 \([1, 1, 0, 32705788, -201134658864]\) \(78958967971393932466594151/402408000000000000000000\) \(-19717992000000000000000000\) \([]\) \(10160640\) \(3.5358\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33810x1 has rank \(0\).

Complex multiplication

The elliptic curves in class 33810x do not have complex multiplication.

Modular form 33810.2.a.x

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