Show commands:
SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 2023.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2023.b1 | 2023a1 | \([1, -1, 1, -3378, -12206]\) | \(610929/343\) | \(2392684802263\) | \([]\) | \(7344\) | \(1.0654\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2023.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2023.b do not have complex multiplication.Modular form 2023.2.a.b
sage: E.q_eigenform(10)