Properties

Label 14994.q
Number of curves $1$
Conductor $14994$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 14994.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14994.q1 14994e1 \([1, -1, 0, 7635, 34117]\) \(15494117157/9143008\) \(-29042975201184\) \([]\) \(38400\) \(1.2727\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14994.q1 has rank \(0\).

Complex multiplication

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

Modular form 14994.2.a.q

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