Properties

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

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Show commands: SageMath
E = EllipticCurve("f1")
 
E.isogeny_class()
 

Elliptic curves in class 227850.f

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
227850.f1 227850ik1 \([1, 1, 0, -25, -393875]\) \(-1/36456\) \(-67015811625000\) \([]\) \(967680\) \(1.3319\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 227850.f1 has rank \(0\).

Complex multiplication

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

Modular form 227850.2.a.f

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