Properties

Label 58870.g
Number of curves $1$
Conductor $58870$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 58870.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
58870.g1 58870c1 \([1, -1, 0, -76790, 8266300]\) \(-59544945263727729/478515625000\) \(-402431640625000\) \([]\) \(299520\) \(1.6302\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 58870.g1 has rank \(0\).

Complex multiplication

The elliptic curves in class 58870.g do not have complex multiplication.

Modular form 58870.2.a.g

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + q^{7} - q^{8} - 3 q^{9} + q^{10} + 5 q^{11} - 5 q^{13} - q^{14} + q^{16} + 3 q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display