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SageMath
sage: E = EllipticCurve("i1")
sage: E.isogeny_class()
Elliptic curves in class 8048.i
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 8048.i1 | 8048c1 | [0, 1, 0, 12, -4] | [] | 768 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8048.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8048.i do not have complex multiplication.Modular form 8048.2.a.i
sage: E.q_eigenform(10)