Properties

Label 254100g
Number of curves $1$
Conductor $254100$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 254100g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
254100.g1 254100g1 \([0, -1, 0, -12382333, -16258597463]\) \(1185154785280/40920957\) \(7249397150387700000000\) \([]\) \(18662400\) \(2.9662\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 254100g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 254100g do not have complex multiplication.

Modular form 254100.2.a.g

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