Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 320790.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
320790.a1 | 320790a1 | \([1, 1, 0, -662538, -382275108]\) | \(-271216945817/374625000\) | \(-44425983232688625000\) | \([]\) | \(12220416\) | \(2.4625\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 320790.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 320790.a do not have complex multiplication.Modular form 320790.2.a.a
sage: E.q_eigenform(10)