Properties

Label 219351.b
Number of curves $1$
Conductor $219351$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 219351.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
219351.b1 219351b1 \([0, -1, 1, -39289068, -93341576158]\) \(277872376393220608000/4828135850131077\) \(116539462223912530131813\) \([]\) \(35223552\) \(3.2229\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 219351.b1 has rank \(0\).

Complex multiplication

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

Modular form 219351.2.a.b

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