Properties

Label 87120d
Number of curves $1$
Conductor $87120$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("d1")
 
E.isogeny_class()
 

Elliptic curves in class 87120d

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
87120.z1 87120d1 \([0, 0, 0, 1452, -56628]\) \(3345408/15625\) \(-1581228000000\) \([]\) \(138240\) \(1.0231\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 87120d1 has rank \(2\).

Complex multiplication

The elliptic curves in class 87120d do not have complex multiplication.

Modular form 87120.2.a.d

sage: E.q_eigenform(10)
 
\(q - q^{5} - q^{7} - 6 q^{13} - 6 q^{17} - 7 q^{19} + O(q^{20})\) Copy content Toggle raw display