Properties

Label 485520ij
Number of curves $1$
Conductor $485520$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands for: SageMath
sage: E = EllipticCurve("ij1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 485520ij

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
485520.ij1 485520ij1 \([0, 1, 0, -420880, -119179372]\) \(-288568081/47250\) \(-1350060192101376000\) \([]\) \(7931520\) \(2.2064\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 485520ij1 has rank \(0\).

Complex multiplication

The elliptic curves in class 485520ij do not have complex multiplication.

Modular form 485520.2.a.ij

sage: E.q_eigenform(10)
 
\(q + q^{3} + q^{5} + q^{7} + q^{9} + 2q^{11} + 4q^{13} + q^{15} - 6q^{19} + O(q^{20})\)  Toggle raw display