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SageMath
E = EllipticCurve("dc1")
E.isogeny_class()
Elliptic curves in class 36800.dc
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 36800.dc1 | 36800do1 | \([0, -1, 0, -1833, -29713]\) | \(-5451776/23\) | \(-2875000000\) | \([]\) | \(22400\) | \(0.66958\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 36800.dc1 has rank \(0\).
Complex multiplication
The elliptic curves in class 36800.dc do not have complex multiplication.Modular form 36800.2.a.dc
sage: E.q_eigenform(10)