Properties

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

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 14994.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14994.t1 14994n1 \([1, -1, 0, 82916370, -3707085852716]\) \(15001431500460925919/1421324083670155776\) \(-5973171213673166514289979904\) \([]\) \(10644480\) \(4.0092\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14994.t1 has rank \(0\).

Complex multiplication

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

Modular form 14994.2.a.t

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