Properties

Label 14450a
Number of curves $1$
Conductor $14450$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 14450a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14450.l1 14450a1 \([1, 0, 1, 3395599, 2219014948]\) \(2336752783/2500000\) \(-4632338925664062500000\) \([]\) \(913920\) \(2.8439\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14450a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 14450a do not have complex multiplication.

Modular form 14450.2.a.a

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{3} + q^{4} - q^{6} - q^{8} - 2 q^{9} + 6 q^{11} + q^{12} + 5 q^{13} + q^{16} + 2 q^{18} - 3 q^{19} + O(q^{20})\) Copy content Toggle raw display