Properties

Label 110400.a
Number of curves $1$
Conductor $110400$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 110400.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
110400.a1 110400cd1 \([0, -1, 0, -1328833, 336505537]\) \(2534167381585/990074583\) \(101383637299200000000\) \([]\) \(4915200\) \(2.5375\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 110400.a1 has rank \(0\).

Complex multiplication

The elliptic curves in class 110400.a do not have complex multiplication.

Modular form 110400.2.a.a

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