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SageMath
E = EllipticCurve("hy1")
E.isogeny_class()
Elliptic curves in class 176400.hy
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176400.hy1 | 176400fc1 | \([0, 0, 0, -129675, 18184250]\) | \(-105484561/1440\) | \(-3292047360000000\) | \([]\) | \(1105920\) | \(1.7844\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400.hy1 has rank \(0\).
Complex multiplication
The elliptic curves in class 176400.hy do not have complex multiplication.Modular form 176400.2.a.hy
sage: E.q_eigenform(10)