Properties

Label 79350.j
Number of curves $1$
Conductor $79350$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("j1")
 
E.isogeny_class()
 

Elliptic curves in class 79350.j

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
79350.j1 79350r1 \([1, 1, 0, -1825325, -949027875]\) \(11631015625/13248\) \(766085725575000000\) \([]\) \(1520640\) \(2.3450\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 79350.j1 has rank \(1\).

Complex multiplication

The elliptic curves in class 79350.j do not have complex multiplication.

Modular form 79350.2.a.j

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{7} - q^{8} + q^{9} + 5 q^{11} - q^{12} + 3 q^{13} + q^{14} + q^{16} - 2 q^{17} - q^{18} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display