Properties

Label 69828g
Number of curves $1$
Conductor $69828$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 69828g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
69828.e1 69828g1 \([0, -1, 0, -84556594, 299302412113]\) \(53360942198048512/2910897\) \(3647283393944112912\) \([]\) \(6955200\) \(3.0308\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 69828g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 69828g do not have complex multiplication.

Modular form 69828.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{3} - 2 q^{5} + 4 q^{7} + q^{9} - q^{11} + 4 q^{13} + 2 q^{15} + 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display