Properties

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

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Show commands: SageMath
E = EllipticCurve("c1")
 
E.isogeny_class()
 

Elliptic curves in class 81120.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
81120.c1 81120be1 \([0, -1, 0, 790019, -57747275]\) \(2758136205824/1668346875\) \(-32984234849779200000\) \([]\) \(1612800\) \(2.4345\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 81120.c1 has rank \(0\).

Complex multiplication

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

Modular form 81120.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{3} - q^{5} - 3 q^{7} + q^{9} + 3 q^{11} + q^{15} - 3 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display