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SageMath
E = EllipticCurve("hq1")
E.isogeny_class()
Elliptic curves in class 62400hq
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
62400.ee1 | 62400hq1 | \([0, 1, 0, -34533, 2458563]\) | \(-17790954496/195\) | \(-49920000000\) | \([]\) | \(184320\) | \(1.2070\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 62400hq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 62400hq do not have complex multiplication.Modular form 62400.2.a.hq
sage: E.q_eigenform(10)