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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 177600.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177600.a1 | 177600dc1 | \([0, -1, 0, -449633, -152452863]\) | \(-2454365649169/1035763200\) | \(-4242486067200000000\) | \([]\) | \(4644864\) | \(2.2821\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177600.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 177600.a do not have complex multiplication.Modular form 177600.2.a.a
sage: E.q_eigenform(10)