Properties

Label 7605t
Number of curves $1$
Conductor $7605$
CM no
Rank $1$

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

Elliptic curves in class 7605t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
7605.a1 7605t1 \([0, 0, 1, -46137, -3934278]\) \(-18264064/675\) \(-401400694536075\) \([]\) \(59904\) \(1.5731\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 7605t1 has rank \(1\).

Complex multiplication

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

Modular form 7605.2.a.t

sage: E.q_eigenform(10)
 
\(q - 2 q^{2} + 2 q^{4} + q^{5} + 5 q^{7} - 2 q^{10} - 2 q^{11} - 10 q^{14} - 4 q^{16} - 2 q^{17} + O(q^{20})\) Copy content Toggle raw display