Properties

Label 402930.t
Number of curves $1$
Conductor $402930$
CM no
Rank $2$

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

Elliptic curves in class 402930.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
402930.t1 402930t1 \([1, -1, 0, -4560, 120896]\) \(-982592721/11840\) \(-126371741760\) \([]\) \(405504\) \(0.94190\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 402930.t1 has rank \(2\).

Complex multiplication

The elliptic curves in class 402930.t do not have complex multiplication.

Modular form 402930.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{2} + q^{4} - q^{5} + q^{7} - q^{8} + q^{10} - q^{13} - q^{14} + q^{16} + 2 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display