Properties

Label 142912.n
Number of curves $1$
Conductor $142912$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 142912.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
142912.n1 142912bl1 \([0, -1, 0, -48489, 2827153]\) \(12312957911772928/3792039693673\) \(3883048646321152\) \([]\) \(576000\) \(1.6959\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 142912.n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 142912.n do not have complex multiplication.

Modular form 142912.2.a.n

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{5} - q^{7} - 2 q^{9} + q^{11} - q^{13} + 2 q^{15} - 4 q^{17} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display