Properties

Label 129285l
Number of curves $1$
Conductor $129285$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 129285l

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
129285.t1 129285l1 \([0, 0, 1, -1219842, 839010682]\) \(-1540318675894272/1442042265625\) \(-187932489824676796875\) \([]\) \(3575040\) \(2.5867\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 129285l1 has rank \(1\).

Complex multiplication

The elliptic curves in class 129285l do not have complex multiplication.

Modular form 129285.2.a.l

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} + q^{5} - 4 q^{7} + 2 q^{11} + 4 q^{16} + q^{17} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display