Show commands:
SageMath
E = EllipticCurve("et1")
E.isogeny_class()
Elliptic curves in class 66240et
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
66240.a1 | 66240et1 | \([0, 0, 0, 42, 38]\) | \(175616/115\) | \(-5365440\) | \([]\) | \(13824\) | \(-0.019868\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 66240et1 has rank \(1\).
Complex multiplication
The elliptic curves in class 66240et do not have complex multiplication.Modular form 66240.2.a.et
sage: E.q_eigenform(10)