Properties

Label 388815.g
Number of curves $1$
Conductor $388815$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 388815.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
388815.g1 388815g1 \([0, -1, 1, -2600740, 1835680818]\) \(-111701610496/18862875\) \(-328521005180191222875\) \([]\) \(23721984\) \(2.6635\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 388815.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 388815.g do not have complex multiplication.

Modular form 388815.2.a.g

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} - q^{3} + 2 q^{4} + q^{5} + 2 q^{6} + q^{9} - 2 q^{10} + 2 q^{11} - 2 q^{12} + 6 q^{13} - q^{15} - 4 q^{16} + q^{17} - 2 q^{18} + 2 q^{19} + O(q^{20})\) Copy content Toggle raw display