Show commands:
SageMath
E = EllipticCurve("dw1")
E.isogeny_class()
Elliptic curves in class 212160.dw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
212160.dw1 | 212160dc1 | \([0, -1, 0, -345, 3057]\) | \(-4447738624/1077375\) | \(-1103232000\) | \([]\) | \(138240\) | \(0.45366\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 212160.dw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 212160.dw do not have complex multiplication.Modular form 212160.2.a.dw
sage: E.q_eigenform(10)