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SageMath
E = EllipticCurve("cp1")
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 |
Rank
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)