Properties

Label 303600.u
Number of curves $1$
Conductor $303600$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 303600.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
303600.u1 303600u1 \([0, -1, 0, 4032, 41472]\) \(70774630295/48691368\) \(-4985996083200\) \([]\) \(483840\) \(1.1251\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 303600.u1 has rank \(0\).

Complex multiplication

The elliptic curves in class 303600.u do not have complex multiplication.

Modular form 303600.2.a.u

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