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SageMath
E = EllipticCurve("dr1")
E.isogeny_class()
Elliptic curves in class 29400dr
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
29400.do1 | 29400dr1 | \([0, 1, 0, -73663, -7885942]\) | \(-46028377077760/1162261467\) | \(-1116235912906800\) | \([]\) | \(109440\) | \(1.6715\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 29400dr1 has rank \(1\).
Complex multiplication
The elliptic curves in class 29400dr do not have complex multiplication.Modular form 29400.2.a.dr
sage: E.q_eigenform(10)