Properties

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

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Show commands: SageMath
E = EllipticCurve("t1")
 
E.isogeny_class()
 

Elliptic curves in class 7600.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7600.t1 7600g1 \([0, 0, 0, -1675, -115750]\) \(-16241202/171475\) \(-5487200000000\) \([]\) \(23040\) \(1.1266\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7600.t1 has rank \(0\).

Complex multiplication

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

Modular form 7600.2.a.t

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