Properties

Label 176400lo
Number of curves $1$
Conductor $176400$
CM no
Rank $2$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("lo1")
 
E.isogeny_class()
 

Elliptic curves in class 176400lo

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
176400.dw1 176400lo1 \([0, 0, 0, 2625, 30625]\) \(1280\) \(-1562793750000\) \([]\) \(184320\) \(1.0278\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 176400lo1 has rank \(2\).

Complex multiplication

The elliptic curves in class 176400lo do not have complex multiplication.

Modular form 176400.2.a.lo

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