Show commands:
SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 41070.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
41070.s1 | 41070t1 | \([1, 1, 1, -914206, -336826021]\) | \(61723777276716813001/3224862720\) | \(4414837063680\) | \([]\) | \(505440\) | \(1.8981\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 41070.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 41070.s do not have complex multiplication.Modular form 41070.2.a.s
sage: E.q_eigenform(10)