Show commands:
SageMath
E = EllipticCurve("t1")
E.isogeny_class()
Elliptic curves in class 176610.t
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176610.t1 | 176610cm1 | \([1, 0, 1, -38994, 27697252]\) | \(-7796596671680209/389639433093120\) | \(-327686763231313920\) | \([]\) | \(2664000\) | \(2.0409\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176610.t1 has rank \(0\).
Complex multiplication
The elliptic curves in class 176610.t do not have complex multiplication.Modular form 176610.2.a.t
sage: E.q_eigenform(10)