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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 15600y
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 15600.l1 | 15600y1 | \([0, -1, 0, -143848, 22352752]\) | \(-3214683778008145/238496514048\) | \(-24422043038515200\) | \([]\) | \(92736\) | \(1.8934\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15600y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 15600y do not have complex multiplication.Modular form 15600.2.a.y
sage: E.q_eigenform(10)