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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 28611p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28611.k1 | 28611p1 | \([0, 0, 1, -700536, -227893190]\) | \(-2160697802752/24640803\) | \(-433586661235744203\) | \([]\) | \(368640\) | \(2.1981\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28611p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 28611p do not have complex multiplication.Modular form 28611.2.a.p
sage: E.q_eigenform(10)