Properties

Label 374790.t
Number of curves $1$
Conductor $374790$
CM no
Rank $1$

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

Elliptic curves in class 374790.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
374790.t1 374790t1 \([1, 1, 0, -62356907, -189811440549]\) \(-32716021186681/51333750\) \(-42074593576800693333750\) \([]\) \(88089600\) \(3.2397\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 374790.t1 has rank \(1\).

Complex multiplication

The elliptic curves in class 374790.t do not have complex multiplication.

Modular form 374790.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{2} - q^{3} + q^{4} + q^{5} + q^{6} - 5 q^{7} - q^{8} + q^{9} - q^{10} - q^{11} - q^{12} - q^{13} + 5 q^{14} - q^{15} + q^{16} + 6 q^{17} - q^{18} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display