Show commands:
SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 422331t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
422331.t1 | 422331t1 | \([1, 1, 1, -764, 5858]\) | \(208537/51\) | \(12062195691\) | \([]\) | \(393120\) | \(0.64511\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 422331t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 422331t do not have complex multiplication.Modular form 422331.2.a.t
sage: E.q_eigenform(10)