Show commands:
SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 132600.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
132600.t1 | 132600cb1 | \([0, -1, 0, 12, -603]\) | \(87808/77571\) | \(-155142000\) | \([]\) | \(43008\) | \(0.25067\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 132600.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 132600.t do not have complex multiplication.Modular form 132600.2.a.t
sage: E.q_eigenform(10)