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SageMath
sage: E = EllipticCurve("q1")
sage: E.isogeny_class()
Elliptic curves in class 303450.q
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
|---|---|---|---|---|---|
| 303450.q1 | 303450q1 | [1, 1, 0, -150, 900] | [] | 124416 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450.q1 has rank \(2\).
Complex multiplication
The elliptic curves in class 303450.q do not have complex multiplication.Modular form 303450.2.a.q
sage: E.q_eigenform(10)