Properties

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

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Show commands: SageMath
E = EllipticCurve("p1")
 
E.isogeny_class()
 

Elliptic curves in class 14994.p

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14994.p1 14994j1 \([1, -1, 0, -1710, 28244]\) \(-418114329003/10690688\) \(-14143780224\) \([]\) \(13440\) \(0.73137\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14994.p1 has rank \(1\).

Complex multiplication

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

Modular form 14994.2.a.p

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