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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 60840.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
60840.r1 | 60840j1 | \([0, 0, 0, 14782092, -14395262492]\) | \(396555344454656/328867205355\) | \(-296243053322345482279680\) | \([]\) | \(7096320\) | \(3.1915\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 60840.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 60840.r do not have complex multiplication.Modular form 60840.2.a.r
sage: E.q_eigenform(10)