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SageMath
E = EllipticCurve("by1")
E.isogeny_class()
Elliptic curves in class 147294by
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
147294.k1 | 147294by1 | \([1, -1, 0, 24687, -12335]\) | \(19400056703/11227076\) | \(-962902758692196\) | \([]\) | \(576000\) | \(1.5645\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 147294by1 has rank \(0\).
Complex multiplication
The elliptic curves in class 147294by do not have complex multiplication.Modular form 147294.2.a.by
sage: E.q_eigenform(10)