Properties

Label 7605.n
Number of curves $1$
Conductor $7605$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("n1")
 
E.isogeny_class()
 

Elliptic curves in class 7605.n

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7605.n1 7605u1 \([0, 0, 1, 52728, -6219158]\) \(2097152/3375\) \(-26091045144844875\) \([]\) \(44928\) \(1.8352\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7605.n1 has rank \(0\).

Complex multiplication

The elliptic curves in class 7605.n do not have complex multiplication.

Modular form 7605.2.a.n

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} + q^{5} + 3 q^{7} + 3 q^{11} + 4 q^{16} + 3 q^{17} + O(q^{20})\) Copy content Toggle raw display