Properties

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

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Show commands: SageMath
E = EllipticCurve("bb1")
 
E.isogeny_class()
 

Elliptic curves in class 19074.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
19074.bb1 19074bk1 \([1, 0, 0, -584, 152640]\) \(-263762497/120434688\) \(-10058825576448\) \([]\) \(34560\) \(1.1741\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 19074.bb1 has rank \(1\).

Complex multiplication

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

Modular form 19074.2.a.bb

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