Properties

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

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Show commands: SageMath
E = EllipticCurve("u1")
 
E.isogeny_class()
 

Elliptic curves in class 227850.u

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
227850.u1 227850ir1 \([1, 1, 0, 486125, -29121875]\) \(16593961519126271/10088193600000\) \(-7723773225000000000\) \([]\) \(5806080\) \(2.3134\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 227850.u1 has rank \(0\).

Complex multiplication

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

Modular form 227850.2.a.u

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{8} + q^{9} - q^{11} - q^{12} - 3 q^{13} + q^{16} + 8 q^{17} - q^{18} - q^{19} + O(q^{20})\) Copy content Toggle raw display