Properties

Label 248256.i
Number of curves $1$
Conductor $248256$
CM no
Rank $2$

Related objects

Downloads

Learn more

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

Elliptic curves in class 248256.i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
248256.i1 248256i1 \([0, 0, 0, -5004, 136944]\) \(-72511713/431\) \(-82365382656\) \([]\) \(286720\) \(0.93470\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 248256.i1 has rank \(2\).

Complex multiplication

The elliptic curves in class 248256.i do not have complex multiplication.

Modular form 248256.2.a.i

sage: E.q_eigenform(10)
 
\(q - 3 q^{5} + 2 q^{7} + q^{11} + 2 q^{13} - 6 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display