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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 200277y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
200277.ba1 | 200277y1 | \([1, -1, 0, -368529, -87834754]\) | \(-314570740401/7761061\) | \(-136565862997116861\) | \([]\) | \(1990656\) | \(2.0729\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 200277y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 200277y do not have complex multiplication.Modular form 200277.2.a.y
sage: E.q_eigenform(10)