Show commands:
SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 191984.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
191984.a1 | 191984a1 | \([0, 0, 0, -7101211, -7253610806]\) | \(2003092024307193/9529458688\) | \(188403208029661560832\) | \([]\) | \(15956352\) | \(2.7397\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 191984.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 191984.a do not have complex multiplication.Modular form 191984.2.a.a
sage: E.q_eigenform(10)