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SageMath
E = EllipticCurve("ek1")
E.isogeny_class()
Elliptic curves in class 134064ek
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 134064.dj1 | 134064ek1 | \([0, 0, 0, -3675, 122794]\) | \(-31250/19\) | \(-3337331300352\) | \([]\) | \(158400\) | \(1.1051\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 134064ek1 has rank \(0\).
Complex multiplication
The elliptic curves in class 134064ek do not have complex multiplication.Modular form 134064.2.a.ek
sage: E.q_eigenform(10)