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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 206400.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
206400.y1 | 206400id1 | \([0, -1, 0, 54847, -476223]\) | \(556832393083/325005696\) | \(-10649786646528000\) | \([]\) | \(1290240\) | \(1.7648\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 206400.y1 has rank \(2\).
Complex multiplication
The elliptic curves in class 206400.y do not have complex multiplication.Modular form 206400.2.a.y
sage: E.q_eigenform(10)