Show commands:
SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 68970d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 68970.h1 | 68970d1 | \([1, 1, 0, -331058, -73573452]\) | \(-18719599019209/35020800\) | \(-7507019499724800\) | \([]\) | \(878592\) | \(1.9367\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 68970d1 has rank \(0\).
Complex multiplication
The elliptic curves in class 68970d do not have complex multiplication.Modular form 68970.2.a.d
sage: E.q_eigenform(10)