Properties

Label 225600.is
Number of curves $1$
Conductor $225600$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("is1")
 
E.isogeny_class()
 

Elliptic curves in class 225600.is

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
225600.is1 225600gq1 \([0, 1, 0, -1233, 5913]\) \(207474688/102789\) \(102789000000\) \([]\) \(241920\) \(0.80603\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 225600.is1 has rank \(0\).

Complex multiplication

The elliptic curves in class 225600.is do not have complex multiplication.

Modular form 225600.2.a.is

sage: E.q_eigenform(10)
 
\(q + q^{3} + 3 q^{7} + q^{9} + 5 q^{11} + 2 q^{13} + 6 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display