Properties

Label 193600d
Number of curves $1$
Conductor $193600$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 193600d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
193600.m1 193600d1 \([0, 0, 0, 60500, -13310000]\) \(270\) \(-90703923200000000\) \([]\) \(2745600\) \(1.9367\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 193600d1 has rank \(0\).

Complex multiplication

The elliptic curves in class 193600d do not have complex multiplication.

Modular form 193600.2.a.d

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