Properties

Label 39600.o
Number of curves $1$
Conductor $39600$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("o1")
 
E.isogeny_class()
 

Elliptic curves in class 39600.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
39600.o1 39600ca1 \([0, 0, 0, -1875, -168750]\) \(-675/11\) \(-11880000000000\) \([]\) \(61440\) \(1.1901\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 39600.o1 has rank \(0\).

Complex multiplication

The elliptic curves in class 39600.o do not have complex multiplication.

Modular form 39600.2.a.o

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