Properties

Label 458640.t
Number of curves $1$
Conductor $458640$
CM no
Rank $1$

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

Elliptic curves in class 458640.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
458640.t1 458640t1 \([0, 0, 0, -42483, 3403442]\) \(-1182740881/13520\) \(-96929579335680\) \([]\) \(1797120\) \(1.4975\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 458640.t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 458640.t do not have complex multiplication.

Modular form 458640.2.a.t

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