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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 9800.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9800.y1 | 9800g1 | \([0, 1, 0, -148633, -22147637]\) | \(-2249728/5\) | \(-807072140000000\) | \([]\) | \(64512\) | \(1.7431\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9800.y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 9800.y do not have complex multiplication.Modular form 9800.2.a.y
sage: E.q_eigenform(10)