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SageMath
sage: E = EllipticCurve("w1")
sage: E.isogeny_class()
Elliptic curves in class 212940w
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 212940.s1 | 212940w1 | [0, 0, 0, 48672, -12575628] | [] | 1884960 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 212940w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 212940w do not have complex multiplication.Modular form 212940.2.a.w
sage: E.q_eigenform(10)