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SageMath
E = EllipticCurve("dl1")
E.isogeny_class()
Elliptic curves in class 177600dl
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 177600.bk1 | 177600dl1 | \([0, -1, 0, 1467, 49437]\) | \(1362944/4995\) | \(-1278720000000\) | \([]\) | \(184320\) | \(1.0060\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177600dl1 has rank \(0\).
Complex multiplication
The elliptic curves in class 177600dl do not have complex multiplication.Modular form 177600.2.a.dl
sage: E.q_eigenform(10)