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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 32200.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
32200.y1 | 32200v1 | \([0, 0, 0, 610625, -4651962625]\) | \(100718081964000000/37453512751940327\) | \(-9363378187985081750000\) | \([]\) | \(3525120\) | \(2.8950\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 32200.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 32200.y do not have complex multiplication.Modular form 32200.2.a.y
sage: E.q_eigenform(10)