Show commands:
SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 405600.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
405600.t1 | 405600t1 | \([0, -1, 0, -3318033, -2329927263]\) | \(-326938350400/767637\) | \(-9485407181652480000\) | \([]\) | \(15482880\) | \(2.5216\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 405600.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 405600.t do not have complex multiplication.Modular form 405600.2.a.t
sage: E.q_eigenform(10)