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SageMath
E = EllipticCurve("hk1")
E.isogeny_class()
Elliptic curves in class 474320.hk
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
474320.hk1 | 474320hk1 | \([0, 1, 0, -23812840, 40557550900]\) | \(85713473128801/8800000000\) | \(153317204200652800000000\) | \([]\) | \(36495360\) | \(3.1844\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 474320.hk1 has rank \(2\).
Complex multiplication
The elliptic curves in class 474320.hk do not have complex multiplication.Modular form 474320.2.a.hk
sage: E.q_eigenform(10)