Show commands:
SageMath
E = EllipticCurve("dd1")
E.isogeny_class()
Elliptic curves in class 164730.dd
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 164730.dd1 | 164730l1 | \([1, 0, 0, -12195806, 19290372036]\) | \(-99509838799681/22161600000\) | \(-44677650424190558400000\) | \([]\) | \(13880160\) | \(3.0665\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 164730.dd1 has rank \(0\).
Complex multiplication
The elliptic curves in class 164730.dd do not have complex multiplication.Modular form 164730.2.a.dd
sage: E.q_eigenform(10)