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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 388815i
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 388815.i1 | 388815i1 | \([0, -1, 1, -8044150, 14474190156]\) | \(-1376628736/1366875\) | \(-57157893727365154066875\) | \([]\) | \(57953280\) | \(3.0625\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388815i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 388815i do not have complex multiplication.Modular form 388815.2.a.i
sage: E.q_eigenform(10)