Properties

Label 14450.s
Number of curves $1$
Conductor $14450$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 14450.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14450.s1 14450be1 \([1, -1, 1, -30255, 2264247]\) \(-2346853689/327680\) \(-427627520000000\) \([]\) \(138240\) \(1.5389\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14450.s1 has rank \(1\).

Complex multiplication

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

Modular form 14450.2.a.s

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