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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 35550.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35550.x1 | 35550m1 | \([1, -1, 0, -792, -7884]\) | \(4826809/316\) | \(3599437500\) | \([]\) | \(33600\) | \(0.58346\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35550.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 35550.x do not have complex multiplication.Modular form 35550.2.a.x
sage: E.q_eigenform(10)