Properties

Label 81120.t
Number of curves $1$
Conductor $81120$
CM no
Rank $0$

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

Elliptic curves in class 81120.t

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
81120.t1 81120h1 \([0, -1, 0, 1132920, 1770084900]\) \(2278334968/20503125\) \(-1447183304034062400000\) \([]\) \(2595840\) \(2.7416\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 81120.t1 has rank \(0\).

Complex multiplication

The elliptic curves in class 81120.t do not have complex multiplication.

Modular form 81120.2.a.t

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - q^{7} + q^{9} + q^{11} - q^{15} + 3 q^{19} + O(q^{20})\) Copy content Toggle raw display