Properties

Label 8470.bh
Number of curves $1$
Conductor $8470$
CM no
Rank $0$

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

Elliptic curves in class 8470.bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
8470.bh1 8470bd1 \([1, -1, 1, -2322, -42479]\) \(-11437987859001/358400\) \(-43366400\) \([]\) \(10560\) \(0.56164\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 8470.bh1 has rank \(0\).

Complex multiplication

The elliptic curves in class 8470.bh do not have complex multiplication.

Modular form 8470.2.a.bh

sage: E.q_eigenform(10)
 
\(q + q^{2} + 3q^{3} + q^{4} + q^{5} + 3q^{6} - q^{7} + q^{8} + 6q^{9} + q^{10} + 3q^{12} + 3q^{13} - q^{14} + 3q^{15} + q^{16} + 2q^{17} + 6q^{18} + q^{19} + O(q^{20})\)  Toggle raw display