Properties

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

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Show commands: SageMath
E = EllipticCurve("i1")
 
E.isogeny_class()
 

Elliptic curves in class 81120i

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
81120.s1 81120i1 \([0, -1, 0, -91485, -19161195]\) \(-4283098624/5569395\) \(-110110334609633280\) \([]\) \(752640\) \(1.9630\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 81120i1 has rank \(0\).

Complex multiplication

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

Modular form 81120.2.a.i

sage: E.q_eigenform(10)
 
\(q - q^{3} + q^{5} - q^{7} + q^{9} + q^{11} - q^{15} - 3 q^{17} + 6 q^{19} + O(q^{20})\) Copy content Toggle raw display