Properties

Label 219351.g
Number of curves $1$
Conductor $219351$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("g1")
 
E.isogeny_class()
 

Elliptic curves in class 219351.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
219351.g1 219351g1 \([0, -1, 1, 12909, 5991149]\) \(9855401984/649033803\) \(-15666098203244907\) \([]\) \(1916928\) \(1.7871\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 219351.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 219351.g do not have complex multiplication.

Modular form 219351.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{4} + 4 q^{5} + q^{7} + q^{9} + q^{11} + 2 q^{12} - 2 q^{13} - 4 q^{15} + 4 q^{16} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display