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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 66270k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66270.l1 | 66270k1 | \([1, 0, 1, -455625073, -3741957021052]\) | \(439302518441971081/193273528320\) | \(4602091386957502894571520\) | \([]\) | \(19636224\) | \(3.6914\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66270k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 66270k do not have complex multiplication.Modular form 66270.2.a.k
sage: E.q_eigenform(10)