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SageMath
E = EllipticCurve("dr1")
E.isogeny_class()
Elliptic curves in class 206400.dr
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 206400.dr1 | 206400kb1 | \([0, -1, 0, 39954967867, 2496763358348637]\) | \(27554726454844416496885738496/26465717996184551883676875\) | \(-6775223807023245282221280000000000\) | \([]\) | \(1211105280\) | \(5.1786\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 206400.dr1 has rank \(0\).
Complex multiplication
The elliptic curves in class 206400.dr do not have complex multiplication.Modular form 206400.2.a.dr
sage: E.q_eigenform(10)