Properties

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

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Show commands: SageMath
E = EllipticCurve("q1")
 
E.isogeny_class()
 

Elliptic curves in class 227850.q

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
227850.q1 227850ia1 \([1, 1, 0, -13258200, -18586296000]\) \(114454561728745/3428352\) \(7720221499200000000\) \([]\) \(11612160\) \(2.7229\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 227850.q1 has rank \(1\).

Complex multiplication

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

Modular form 227850.2.a.q

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{6} - q^{8} + q^{9} - 3 q^{11} - q^{12} + 2 q^{13} + q^{16} - 5 q^{17} - q^{18} + 4 q^{19} + O(q^{20})\) Copy content Toggle raw display