Show commands:
SageMath
E = EllipticCurve("dx1")
E.isogeny_class()
Elliptic curves in class 72450dx
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
72450.dr1 | 72450dx1 | \([1, -1, 1, -216680, -93424053]\) | \(-158034076225/438790688\) | \(-3123812612812500000\) | \([]\) | \(1440000\) | \(2.2360\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 72450dx1 has rank \(0\).
Complex multiplication
The elliptic curves in class 72450dx do not have complex multiplication.Modular form 72450.2.a.dx
sage: E.q_eigenform(10)