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SageMath
E = EllipticCurve("hk1")
E.isogeny_class()
Elliptic curves in class 62400.hk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
62400.hk1 | 62400ie1 | \([0, 1, 0, -6061333, 5839286963]\) | \(-769623354048512/15247889631\) | \(-487932468192000000000\) | \([]\) | \(2688000\) | \(2.7626\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 62400.hk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 62400.hk do not have complex multiplication.Modular form 62400.2.a.hk
sage: E.q_eigenform(10)