Properties

Label 338100.u
Number of curves $1$
Conductor $338100$
CM no
Rank $2$

Related objects

Downloads

Learn more

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

Elliptic curves in class 338100.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
338100.u1 338100u1 \([0, -1, 0, -34533, 2483937]\) \(-23237165056/25875\) \(-5071500000000\) \([]\) \(974592\) \(1.3523\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 338100.u1 has rank \(2\).

Complex multiplication

The elliptic curves in class 338100.u do not have complex multiplication.

Modular form 338100.2.a.u

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