Properties

Label 87120.ca
Number of curves $1$
Conductor $87120$
CM no
Rank $1$

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Show commands: SageMath
sage: E = EllipticCurve("ca1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 87120.ca

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
87120.ca1 87120z1 \([0, 0, 0, -72963, 8121762]\) \(-16241202/1375\) \(-3636773800704000\) \([]\) \(483840\) \(1.7308\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 87120.ca1 has rank \(1\).

Complex multiplication

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

Modular form 87120.2.a.ca

sage: E.q_eigenform(10)
 
\(q - q^{5} + q^{7} + 6q^{13} + 3q^{17} - 5q^{19} + O(q^{20})\)  Toggle raw display