Properties

Label 14994.bb
Number of curves $1$
Conductor $14994$
CM no
Rank $1$

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

Elliptic curves in class 14994.bb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14994.bb1 14994q1 \([1, -1, 0, 39681, -13409523]\) \(3947714094191/46599266304\) \(-81564047190614016\) \([]\) \(134784\) \(1.9259\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14994.bb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 14994.bb do not have complex multiplication.

Modular form 14994.2.a.bb

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} + q^{5} - q^{8} - q^{10} + 3 q^{11} - 2 q^{13} + q^{16} + q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display