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SageMath
E = EllipticCurve("eq1")
E.isogeny_class()
Elliptic curves in class 450800.eq
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 450800.eq1 | 450800eq1 | \([0, 1, 0, -6729333, 6717380963]\) | \(-35806478336/3703\) | \(-3485233976000000000\) | \([]\) | \(9400320\) | \(2.5904\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 450800.eq1 has rank \(0\).
Complex multiplication
The elliptic curves in class 450800.eq do not have complex multiplication.Modular form 450800.2.a.eq
sage: E.q_eigenform(10)