Show commands:
SageMath
E = EllipticCurve("x1")
E.isogeny_class()
Elliptic curves in class 97104.x
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 97104.x1 | 97104bv1 | \([0, -1, 0, 139202, -174583637]\) | \(9248000/413343\) | \(-13332751468692656112\) | \([]\) | \(1909440\) | \(2.3495\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 97104.x1 has rank \(1\).
Complex multiplication
The elliptic curves in class 97104.x do not have complex multiplication.Modular form 97104.2.a.x
sage: E.q_eigenform(10)