Show commands:
SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 23120.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23120.b1 | 23120h1 | \([0, 0, 0, -54043, 4844218]\) | \(-2443716/5\) | \(-35715878097920\) | \([]\) | \(156672\) | \(1.4870\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23120.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 23120.b do not have complex multiplication.Modular form 23120.2.a.b
sage: E.q_eigenform(10)