Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 142912.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
142912.a1 142912bd1 \([0, 0, 0, -206512, 36123040]\) \(-59448328887665664/2889812387\) \(-47346686148608\) \([]\) \(2136064\) \(1.6965\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 142912.a1 has rank \(0\).

Complex multiplication

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

Modular form 142912.2.a.a

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - 4 q^{5} - q^{7} + 6 q^{9} + q^{11} + 2 q^{13} + 12 q^{15} + 6 q^{17} + 5 q^{19} + O(q^{20})\) Copy content Toggle raw display