Properties

Label 56784bh
Number of curves $1$
Conductor $56784$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bh1")
 
E.isogeny_class()
 

Elliptic curves in class 56784bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
56784.o1 56784bh1 \([0, -1, 0, -20336, 1289664]\) \(-47045881/8736\) \(-172716046024704\) \([]\) \(161280\) \(1.4564\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 56784bh1 has rank \(0\).

Complex multiplication

The elliptic curves in class 56784bh do not have complex multiplication.

Modular form 56784.2.a.bh

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - q^{7} + q^{9} + 3 q^{11} + q^{15} + 5 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display