Properties

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

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 224400.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
224400.c1 224400eh1 \([0, -1, 0, 187, -1683]\) \(7024640/15147\) \(-1551052800\) \([]\) \(142080\) \(0.44776\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 224400.c1 has rank \(1\).

Complex multiplication

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

Modular form 224400.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{3} - 5 q^{7} + q^{9} - q^{11} + 2 q^{13} + q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display