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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 207936.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
207936.r1 | 207936dh1 | \([0, 0, 0, -1975392, -1068632200]\) | \(-1815478272\) | \(-469561550957568\) | \([]\) | \(4202496\) | \(2.1431\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 207936.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 207936.r do not have complex multiplication.Modular form 207936.2.a.r
sage: E.q_eigenform(10)