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SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 102850.x
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
102850.x1 | 102850bg1 | \([1, -1, 0, -336617, -75089459]\) | \(-8113242988755/278528\) | \(-144812800000000\) | \([]\) | \(624960\) | \(1.8085\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102850.x1 has rank \(0\).
Complex multiplication
The elliptic curves in class 102850.x do not have complex multiplication.Modular form 102850.2.a.x
sage: E.q_eigenform(10)