Properties

Label 19074.bh
Number of curves $1$
Conductor $19074$
CM no
Rank $0$

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

Elliptic curves in class 19074.bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
19074.bh1 19074be1 \([1, 0, 0, 3173, -674767]\) \(506447/28512\) \(-198892796157792\) \([]\) \(73440\) \(1.4233\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19074.bh1 has rank \(0\).

Complex multiplication

The elliptic curves in class 19074.bh do not have complex multiplication.

Modular form 19074.2.a.bh

sage: E.q_eigenform(10)
 
\(q + q^{2} + q^{3} + q^{4} + 2 q^{5} + q^{6} - 2 q^{7} + q^{8} + q^{9} + 2 q^{10} - q^{11} + q^{12} + q^{13} - 2 q^{14} + 2 q^{15} + q^{16} + q^{18} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display