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SageMath
E = EllipticCurve("by1")
E.isogeny_class()
Elliptic curves in class 366912.by
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
366912.by1 | 366912by1 | \([0, 0, 0, -2836061004, -58465377479824]\) | \(-112205650221491190337/745029571313664\) | \(-16750555001484957601587265536\) | \([]\) | \(350945280\) | \(4.2513\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 366912.by1 has rank \(1\).
Complex multiplication
The elliptic curves in class 366912.by do not have complex multiplication.Modular form 366912.2.a.by
sage: E.q_eigenform(10)