Show commands:
SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 20938.i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
20938.i1 | 20938i1 | \([1, -1, 1, -429, -4823]\) | \(-185193/116\) | \(-5457322196\) | \([]\) | \(24192\) | \(0.56999\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 20938.i1 has rank \(0\).
Complex multiplication
The elliptic curves in class 20938.i do not have complex multiplication.Modular form 20938.2.a.i
sage: E.q_eigenform(10)