Properties

Label 272832.i
Number of curves $1$
Conductor $272832$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 272832.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
272832.i1 272832i1 \([0, -1, 0, -89637, 10356669]\) \(843308032/261\) \(24651580391424\) \([]\) \(903168\) \(1.5461\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 272832.i1 has rank \(1\).

Complex multiplication

The elliptic curves in class 272832.i do not have complex multiplication.

Modular form 272832.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3 q^{5} + q^{9} - 2 q^{11} - 3 q^{13} + 3 q^{15} + O(q^{20})\) Copy content Toggle raw display