Show commands:
SageMath
E = EllipticCurve("v1")
E.isogeny_class()
Elliptic curves in class 17787v
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 17787.p1 | 17787v1 | \([1, 0, 0, 146, -3739]\) | \(24167/441\) | \(-6277868289\) | \([]\) | \(13824\) | \(0.56047\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 17787v1 has rank \(0\).
Complex multiplication
The elliptic curves in class 17787v do not have complex multiplication.Modular form 17787.2.a.v
sage: E.q_eigenform(10)