Show commands:
SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 23184.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23184.t1 | 23184y1 | \([0, 0, 0, 597, 15066]\) | \(212776173/1009792\) | \(-111674916864\) | \([]\) | \(16128\) | \(0.80224\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23184.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 23184.t do not have complex multiplication.Modular form 23184.2.a.t
sage: E.q_eigenform(10)