Properties

Label 192200a
Number of curves $1$
Conductor $192200$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("a1")
 
E.isogeny_class()
 

Elliptic curves in class 192200a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
192200.b1 192200a1 \([0, 0, 0, 4805, 297910]\) \(270\) \(-45440188467200\) \([]\) \(665280\) \(1.3035\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 192200a1 has rank \(1\).

Complex multiplication

The elliptic curves in class 192200a do not have complex multiplication.

Modular form 192200.2.a.a

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - 2 q^{7} + 6 q^{9} - q^{11} + 4 q^{13} + 5 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display