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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 257400.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
257400.y1 | 257400y1 | \([0, 0, 0, -1875, -120625]\) | \(-160000/1287\) | \(-5863893750000\) | \([]\) | \(399360\) | \(1.1328\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 257400.y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 257400.y do not have complex multiplication.Modular form 257400.2.a.y
sage: E.q_eigenform(10)