Properties

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

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Show commands: SageMath
E = EllipticCurve("fs1")
 
E.isogeny_class()
 

Elliptic curves in class 224400.fs

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
224400.fs1 224400cb1 \([0, 1, 0, 310992, 988571988]\) \(51974460932759/6625297800000\) \(-424019059200000000000\) \([]\) \(9123840\) \(2.6374\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 224400.fs1 has rank \(1\).

Complex multiplication

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

Modular form 224400.2.a.fs

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