Properties

Label 7600.o
Number of curves $1$
Conductor $7600$
CM no
Rank $1$

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

Elliptic curves in class 7600.o

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7600.o1 7600a1 \([0, 1, 0, -208, 1588]\) \(-31250/19\) \(-608000000\) \([]\) \(2304\) \(0.38754\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7600.o1 has rank \(1\).

Complex multiplication

The elliptic curves in class 7600.o do not have complex multiplication.

Modular form 7600.2.a.o

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