Properties

Label 33800i
Number of curves $1$
Conductor $33800$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 33800i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33800.d1 33800i1 \([0, 1, 0, 45912, -9569312]\) \(86614940/371293\) \(-45879306087347200\) \([]\) \(241920\) \(1.8796\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33800i1 has rank \(1\).

Complex multiplication

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

Modular form 33800.2.a.i

sage: E.q_eigenform(10)
 
\(q - 2 q^{3} - 3 q^{7} + q^{9} - q^{11} + 5 q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display