Properties

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

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Show commands: SageMath
E = EllipticCurve("r1")
 
E.isogeny_class()
 

Elliptic curves in class 142912.r

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
142912.r1 142912bk1 \([0, -1, 0, -89, -287]\) \(76995328/2233\) \(2286592\) \([]\) \(18432\) \(-0.0019769\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 142912.r1 has rank \(0\).

Complex multiplication

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

Modular form 142912.2.a.r

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