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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 60840.c
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
60840.c1 | 60840o1 | \([0, 0, 0, -85683, 49753262]\) | \(-338/5\) | \(-1029108127313111040\) | \([]\) | \(898560\) | \(2.1377\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 60840.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 60840.c do not have complex multiplication.Modular form 60840.2.a.c
sage: E.q_eigenform(10)