Properties

Label 38600.a
Number of curves $1$
Conductor $38600$
CM no
Rank $3$

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

Elliptic curves in class 38600.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
38600.a1 38600m1 \([0, 0, 0, -175, 850]\) \(3704400/193\) \(30880000\) \([]\) \(41472\) \(0.19450\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 38600.a1 has rank \(3\).

Complex multiplication

The elliptic curves in class 38600.a do not have complex multiplication.

Modular form 38600.2.a.a

sage: E.q_eigenform(10)
 
\(q - 3 q^{3} - 5 q^{7} + 6 q^{9} - 6 q^{11} - 6 q^{13} - 8 q^{17} - 4 q^{19} + O(q^{20})\) Copy content Toggle raw display