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SageMath
E = EllipticCurve("hk1")
E.isogeny_class()
Elliptic curves in class 202800hk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
202800.kn1 | 202800hk1 | \([0, 1, 0, 197167, 574743963]\) | \(351232/59319\) | \(-143160741535500000000\) | \([]\) | \(9676800\) | \(2.5468\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 202800hk1 has rank \(1\).
Complex multiplication
The elliptic curves in class 202800hk do not have complex multiplication.Modular form 202800.2.a.hk
sage: E.q_eigenform(10)