Properties

Label 95550i
Number of curves $1$
Conductor $95550$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 95550i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
95550.t1 95550i1 \([1, 1, 0, -875900, -317430000]\) \(-825056556289/4680000\) \(-421551073125000000\) \([]\) \(1935360\) \(2.2240\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 95550i1 has rank \(0\).

Complex multiplication

The elliptic curves in class 95550i do not have complex multiplication.

Modular form 95550.2.a.i

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