Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("l1")
 
E.isogeny_class()
 

Elliptic curves in class 142912.l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
142912.l1 142912e1 \([0, -1, 0, -354865, 81484361]\) \(4826301862836722944/1579358473\) \(1617263076352\) \([]\) \(957440\) \(1.7019\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 142912.l1 has rank \(1\).

Complex multiplication

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

Modular form 142912.2.a.l

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