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SageMath
sage: E = EllipticCurve("w1")
sage: E.isogeny_class()
Elliptic curves in class 303450.w
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 303450.w1 | 303450w1 | [1, 1, 0, 496930, 299433120] | [] | 11515392 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 303450.w do not have complex multiplication.Modular form 303450.2.a.w
sage: E.q_eigenform(10)