Show commands:
SageMath
E = EllipticCurve("dt1")
E.isogeny_class()
Elliptic curves in class 101400.dt
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
101400.dt1 | 101400bw1 | \([0, 1, 0, 7887, -4594797]\) | \(351232/59319\) | \(-9162287458272000\) | \([]\) | \(967680\) | \(1.7421\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 101400.dt1 has rank \(1\).
Complex multiplication
The elliptic curves in class 101400.dt do not have complex multiplication.Modular form 101400.2.a.dt
sage: E.q_eigenform(10)