Show commands:
SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 162624.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
162624.s1 | 162624hk1 | \([0, -1, 0, -189889, 524597185]\) | \(-13475473/2107392\) | \(-118420456327964786688\) | \([]\) | \(3345408\) | \(2.5311\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 162624.s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 162624.s do not have complex multiplication.Modular form 162624.2.a.s
sage: E.q_eigenform(10)