Properties

Label 457776.s
Number of curves $1$
Conductor $457776$
CM no
Rank $0$

Related objects

Downloads

Learn more

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

Elliptic curves in class 457776.s

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
457776.s1 457776s1 \([0, 0, 0, -42267339819, -3432795806336166]\) \(-400921744371182188137/12384898975268864\) \(-257971254526917524087672055791616\) \([]\) \(1891814400\) \(4.9962\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 457776.s1 has rank \(0\).

Complex multiplication

The elliptic curves in class 457776.s do not have complex multiplication.

Modular form 457776.2.a.s

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