Properties

Label 14994m
Number of curves $1$
Conductor $14994$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("m1")
 
E.isogeny_class()
 

Elliptic curves in class 14994m

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14994.j1 14994m1 \([1, -1, 0, -450, -428]\) \(5764801/3264\) \(5713073856\) \([]\) \(11520\) \(0.56213\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14994m1 has rank \(2\).

Complex multiplication

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

Modular form 14994.2.a.m

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