Label 87120.cp
Number of curves $1$
Conductor $87120$
CM no
Rank $0$

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Show commands: SageMath
sage: E = EllipticCurve("cp1")
sage: E.isogeny_class()

Elliptic curves in class 87120.cp

sage: E.isogeny_class().curves
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
87120.cp1 87120ek1 \([0, 0, 0, -43923, -11449262]\) \(-14641/80\) \(-51205775113912320\) \([]\) \(760320\) \(1.8903\) \(\Gamma_0(N)\)-optimal


sage: E.rank()

The elliptic curve 87120.cp1 has rank \(0\).

Complex multiplication

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

Modular form 87120.2.a.cp

sage: E.q_eigenform(10)
\(q - q^{5} + 3q^{7} - 8q^{17} - 8q^{19} + O(q^{20})\)  Toggle raw display