Properties

Label 7600.a
Number of curves $1$
Conductor $7600$
CM no
Rank $0$

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

Elliptic curves in class 7600.a

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7600.a1 7600n1 \([0, 0, 0, -19075, -1082750]\) \(-11993263569/972800\) \(-62259200000000\) \([]\) \(50688\) \(1.3931\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7600.a1 has rank \(0\).

Complex multiplication

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

Modular form 7600.2.a.a

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