Show commands:
SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 327990i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
327990.i1 | 327990i1 | \([1, 1, 0, -128052, 17611344]\) | \(-276116343440997121/498165707520\) | \(-418957360024320\) | \([]\) | \(1900800\) | \(1.6979\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 327990i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 327990i do not have complex multiplication.Modular form 327990.2.a.i
sage: E.q_eigenform(10)