Properties

Label 224400.fi
Number of curves $1$
Conductor $224400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("fi1")
 
E.isogeny_class()
 

Elliptic curves in class 224400.fi

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
224400.fi1 224400bj1 \([0, 1, 0, -1145408, 573211188]\) \(-2596717791529849/718080000000\) \(-45957120000000000000\) \([]\) \(8128512\) \(2.4886\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 224400.fi1 has rank \(0\).

Complex multiplication

The elliptic curves in class 224400.fi do not have complex multiplication.

Modular form 224400.2.a.fi

sage: E.q_eigenform(10)
 
\(q + q^{3} - 3 q^{7} + q^{9} + q^{11} + 5 q^{13} - q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display