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SageMath
E = EllipticCurve("id1")
E.isogeny_class()
Elliptic curves in class 177450id
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177450.l1 | 177450id1 | \([1, 1, 0, -783825, -845152875]\) | \(-167137945/870912\) | \(-277511591284200000000\) | \([]\) | \(7581600\) | \(2.6069\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177450id1 has rank \(0\).
Complex multiplication
The elliptic curves in class 177450id do not have complex multiplication.Modular form 177450.2.a.id
sage: E.q_eigenform(10)