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SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 272832t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
272832.t1 | 272832t1 | \([0, -1, 0, 3444831, -27982261215]\) | \(146588258764583/11051773342848\) | \(-340847514619143612530688\) | \([]\) | \(28385280\) | \(3.1950\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 272832t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 272832t do not have complex multiplication.Modular form 272832.2.a.t
sage: E.q_eigenform(10)