Properties

Label 227850.z
Number of curves $1$
Conductor $227850$
CM no
Rank $0$

Related objects

Downloads

Learn more

Show commands: SageMath
E = EllipticCurve("z1")
 
E.isogeny_class()
 

Elliptic curves in class 227850.z

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
227850.z1 227850hn1 \([1, 1, 0, -6061325, 26360332125]\) \(-535893219462505/6222993702912\) \(-285987885216364800000000\) \([]\) \(29030400\) \(3.1828\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 227850.z1 has rank \(0\).

Complex multiplication

The elliptic curves in class 227850.z do not have complex multiplication.

Modular form 227850.2.a.z

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{8} + q^{9} - q^{12} - 3 q^{13} + q^{16} - 5 q^{17} - q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display