Show commands:
SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 402930t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
402930.t1 | 402930t1 | \([1, -1, 0, -4560, 120896]\) | \(-982592721/11840\) | \(-126371741760\) | \([]\) | \(405504\) | \(0.94190\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 402930t1 has rank \(2\).
Complex multiplication
The elliptic curves in class 402930t do not have complex multiplication.Modular form 402930.2.a.t
sage: E.q_eigenform(10)