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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 177600.y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177600.y1 | 177600ie1 | \([0, -1, 0, -33633, 8935137]\) | \(-2054487458/15609375\) | \(-31968000000000000\) | \([]\) | \(1548288\) | \(1.8499\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177600.y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 177600.y do not have complex multiplication.Modular form 177600.2.a.y
sage: E.q_eigenform(10)