Properties

Label 14450o
Number of curves $1$
Conductor $14450$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 14450o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14450.p1 14450o1 \([1, -1, 0, 2258, 87716]\) \(84375/272\) \(-4103386730000\) \([]\) \(55296\) \(1.1034\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14450o1 has rank \(0\).

Complex multiplication

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

Modular form 14450.2.a.o

sage: E.q_eigenform(10)
 
\(q - q^{2} + 3 q^{3} + q^{4} - 3 q^{6} + q^{7} - q^{8} + 6 q^{9} + 4 q^{11} + 3 q^{12} + 3 q^{13} - q^{14} + q^{16} - 6 q^{18} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display