Properties

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

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Show commands: SageMath
E = EllipticCurve("h1")
 
E.isogeny_class()
 

Elliptic curves in class 33810.h

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
33810.h1 33810b1 \([1, 1, 0, -19573173, -21107451987]\) \(143854393630949720089/49888353324003840\) \(287596429130570660835840\) \([]\) \(5594400\) \(3.2030\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 33810.h1 has rank \(0\).

Complex multiplication

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

Modular form 33810.2.a.h

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