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SageMath
E = EllipticCurve("by1")
E.isogeny_class()
Elliptic curves in class 112530.by
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
112530.by1 | 112530cd1 | \([1, 1, 1, 11795, -265693]\) | \(102437538839/77137920\) | \(-136654530693120\) | \([]\) | \(594000\) | \(1.4005\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 112530.by1 has rank \(0\).
Complex multiplication
The elliptic curves in class 112530.by do not have complex multiplication.Modular form 112530.2.a.by
sage: E.q_eigenform(10)