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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 206310.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
206310.y1 | 206310bz1 | \([1, 0, 1, -72749, -23119828]\) | \(-543717769/2632500\) | \(-206153668752232500\) | \([]\) | \(3674112\) | \(2.0068\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 206310.y1 has rank \(1\).
Complex multiplication
The elliptic curves in class 206310.y do not have complex multiplication.Modular form 206310.2.a.y
sage: E.q_eigenform(10)