Show commands:
SageMath
E = EllipticCurve("wh1")
E.isogeny_class()
Elliptic curves in class 369600wh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
369600.wh1 | 369600wh1 | \([0, 1, 0, -13133, -1876887]\) | \(-250523582464/1369738755\) | \(-1369738755000000\) | \([]\) | \(1382400\) | \(1.5885\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 369600wh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 369600wh do not have complex multiplication.Modular form 369600.2.a.wh
sage: E.q_eigenform(10)