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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 163254.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
163254.y1 | 163254do1 | \([1, 1, 0, -408879, -100803555]\) | \(-44732491131643741777/9731750616\) | \(-1644665854104\) | \([]\) | \(1088640\) | \(1.7280\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 163254.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 163254.y do not have complex multiplication.Modular form 163254.2.a.y
sage: E.q_eigenform(10)