Show commands:
SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 458640.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
458640.t1 | 458640t1 | \([0, 0, 0, -42483, 3403442]\) | \(-1182740881/13520\) | \(-96929579335680\) | \([]\) | \(1797120\) | \(1.4975\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 458640.t1 has rank \(1\).
Complex multiplication
The elliptic curves in class 458640.t do not have complex multiplication.Modular form 458640.2.a.t
sage: E.q_eigenform(10)