Properties

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

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Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 33800j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33800.bc1 33800j1 \([0, 0, 0, 845, -21970]\) \(270\) \(-247132620800\) \([]\) \(51840\) \(0.86895\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33800j1 has rank \(1\).

Complex multiplication

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

Modular form 33800.2.a.j

sage: E.q_eigenform(10)
 
\(q + 3 q^{3} + 2 q^{7} + 6 q^{9} - q^{11} - 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display