Properties

Label 127400.s
Number of curves $1$
Conductor $127400$
CM no
Rank $1$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("s1")
 
E.isogeny_class()
 

Elliptic curves in class 127400.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
127400.s1 127400bm1 \([0, -1, 0, -28685008, -62043879988]\) \(-693346671296498/40610171875\) \(-152887875549500000000000\) \([]\) \(14376960\) \(3.2047\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 127400.s1 has rank \(1\).

Complex multiplication

The elliptic curves in class 127400.s do not have complex multiplication.

Modular form 127400.2.a.s

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