Properties

Label 159120.eb
Number of curves $1$
Conductor $159120$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("eb1")
 
E.isogeny_class()
 

Elliptic curves in class 159120.eb

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
159120.eb1 159120v1 \([0, 0, 0, -34707, 2593874]\) \(-1548415333009/77332320\) \(-230913070202880\) \([]\) \(430080\) \(1.5171\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 159120.eb1 has rank \(1\).

Complex multiplication

The elliptic curves in class 159120.eb do not have complex multiplication.

Modular form 159120.2.a.eb

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