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SageMath
sage: E = EllipticCurve("r1")
sage: E.isogeny_class()
Elliptic curves in class 303450r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | Torsion structure | Modular degree | Optimality |
---|---|---|---|---|---|
303450.r1 | 303450r1 | [1, 1, 0, -2275, -42875] | [] | 241920 | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 303450r1 has rank \(1\).
Complex multiplication
The elliptic curves in class 303450r do not have complex multiplication.Modular form 303450.2.a.r
sage: E.q_eigenform(10)