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SageMath
E = EllipticCurve("cd1")
E.isogeny_class()
Elliptic curves in class 393129cd
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
393129.cd1 | 393129cd1 | \([1, -1, 0, -21630285, -29845501218]\) | \(51026761/11979\) | \(262744123722318986339691\) | \([]\) | \(39398400\) | \(3.2055\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 393129cd1 has rank \(1\).
Complex multiplication
The elliptic curves in class 393129cd do not have complex multiplication.Modular form 393129.2.a.cd
sage: E.q_eigenform(10)