Properties

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

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 338100.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
338100.i1 338100i1 \([0, -1, 0, -2508, 49512]\) \(-8904784/69\) \(-13524000000\) \([]\) \(241920\) \(0.77323\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 338100.i1 has rank \(1\).

Complex multiplication

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

Modular form 338100.2.a.i

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