Properties

Label 1520.g
Number of curves $1$
Conductor $1520$
CM no
Rank $1$

Related objects

Downloads

Learn more

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

Elliptic curves in class 1520.g

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
1520.g1 1520h1 \([0, 1, 0, 24, -76]\) \(357911/950\) \(-3891200\) \([]\) \(192\) \(-0.051817\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 1520.g1 has rank \(1\).

Complex multiplication

The elliptic curves in class 1520.g do not have complex multiplication.

Modular form 1520.2.a.g

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