Show commands:
SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 487872w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
487872.w1 | 487872w1 | \([0, 0, 0, 207636, -34787016]\) | \(15185664/16807\) | \(-1095690982145227776\) | \([]\) | \(9461760\) | \(2.1480\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 487872w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 487872w do not have complex multiplication.Modular form 487872.2.a.w
sage: E.q_eigenform(10)