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SageMath
E = EllipticCurve("ja1")
E.isogeny_class()
Elliptic curves in class 177870ja
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
177870.l1 | 177870ja1 | \([1, 1, 0, -86363, 23802717]\) | \(-245209447759969/703125000000\) | \(-204272578125000000\) | \([]\) | \(2156544\) | \(2.0086\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 177870ja1 has rank \(0\).
Complex multiplication
The elliptic curves in class 177870ja do not have complex multiplication.Modular form 177870.2.a.ja
sage: E.q_eigenform(10)