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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 60840k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
60840.i1 | 60840k1 | \([0, 0, 0, -1443, 33982]\) | \(-1316978/1215\) | \(-306563512320\) | \([]\) | \(69120\) | \(0.90069\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 60840k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 60840k do not have complex multiplication.Modular form 60840.2.a.k
sage: E.q_eigenform(10)