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SageMath
sage: E = EllipticCurve("k1")
sage: E.isogeny_class()
Elliptic curves in class 62400.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
---|---|---|---|---|---|
62400.k1 | 62400el1 | [0, -1, 0, 1247, 136417] | [] | 103680 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 62400.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 62400.k do not have complex multiplication.Modular form 62400.2.a.k
sage: E.q_eigenform(10)