Properties

Label 14440c
Number of curves $1$
Conductor $14440$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 14440c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
14440.e1 14440c1 \([0, -1, 0, -317800, 69427052]\) \(-102053522/625\) \(-21738960692480000\) \([]\) \(142272\) \(1.9737\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 14440c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 14440c do not have complex multiplication.

Modular form 14440.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - 2 q^{7} - 2 q^{9} + 5 q^{11} + 6 q^{13} - q^{15} - 6 q^{17} + O(q^{20})\) Copy content Toggle raw display