Show commands:
SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 106560.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
106560.s1 | 106560j1 | \([0, 0, 0, 6612, 75312]\) | \(4516672077/2960000\) | \(-20950548480000\) | \([]\) | \(172032\) | \(1.2449\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 106560.s1 has rank \(2\).
Complex multiplication
The elliptic curves in class 106560.s do not have complex multiplication.Modular form 106560.2.a.s
sage: E.q_eigenform(10)