Properties

Label 33800r
Number of curves $1$
Conductor $33800$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 33800r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33800.q1 33800r1 \([0, 1, 0, -1408, 19813]\) \(7311616/25\) \(1056250000\) \([]\) \(18432\) \(0.59500\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33800r1 has rank \(2\).

Complex multiplication

The elliptic curves in class 33800r do not have complex multiplication.

Modular form 33800.2.a.r

sage: E.q_eigenform(10)
 
\(q + q^{3} - 3 q^{7} - 2 q^{9} - 5 q^{11} - 5 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display