Properties

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

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Show commands: SageMath
E = EllipticCurve("e1")
 
E.isogeny_class()
 

Elliptic curves in class 227850.e

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
227850.e1 227850ij1 \([1, 1, 0, 9005, 889645]\) \(9415976722745/44986834944\) \(-385762109644800\) \([]\) \(1098240\) \(1.4812\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 227850.e1 has rank \(0\).

Complex multiplication

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

Modular form 227850.2.a.e

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