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SageMath
E = EllipticCurve("da1")
E.isogeny_class()
Elliptic curves in class 188100da
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 188100.da1 | 188100da1 | \([0, 0, 0, 5400, -121500]\) | \(221184/209\) | \(-16454988000000\) | \([]\) | \(405504\) | \(1.2231\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 188100da1 has rank \(0\).
Complex multiplication
The elliptic curves in class 188100da do not have complex multiplication.Modular form 188100.2.a.da
sage: E.q_eigenform(10)