Properties

Label 1848g
Number of curves $1$
Conductor $1848$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 1848g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1848.i1 1848g1 \([0, 1, 0, -56, 441]\) \(-1235663104/4991679\) \(-79866864\) \([]\) \(480\) \(0.20163\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1848g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1848g do not have complex multiplication.

Modular form 1848.2.a.g

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