Show commands:
SageMath
E = EllipticCurve("ed1")
E.isogeny_class()
Elliptic curves in class 84966.ed
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
84966.ed1 | 84966ed1 | \([1, 0, 0, 13866, -752508]\) | \(30004847/42336\) | \(-416000399893344\) | \([]\) | \(414720\) | \(1.4907\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 84966.ed1 has rank \(1\).
Complex multiplication
The elliptic curves in class 84966.ed do not have complex multiplication.Modular form 84966.2.a.ed
sage: E.q_eigenform(10)