Properties

Label 27930.t
Number of curves $1$
Conductor $27930$
CM no
Rank $0$

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

Elliptic curves in class 27930.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
27930.t1 27930w1 \([1, 1, 0, -2622, -90516]\) \(-49430863/57000\) \(-2300155599000\) \([]\) \(56448\) \(1.0662\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 27930.t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 27930.t do not have complex multiplication.

Modular form 27930.2.a.t

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