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SageMath
E = EllipticCurve("p1")
E.isogeny_class()
Elliptic curves in class 211600.p
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
211600.p1 | 211600cw1 | \([0, 1, 0, -1168208, 482347588]\) | \(2977540/23\) | \(1361930178800000000\) | \([]\) | \(4055040\) | \(2.3086\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 211600.p1 has rank \(1\).
Complex multiplication
The elliptic curves in class 211600.p do not have complex multiplication.Modular form 211600.2.a.p
sage: E.q_eigenform(10)