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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 88725.c
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 88725.c1 | 88725w1 | \([0, -1, 1, -255858958, 1580519295318]\) | \(-1375916339200/5250987\) | \(-7069269028698290654296875\) | \([]\) | \(40884480\) | \(3.6271\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 88725.c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 88725.c do not have complex multiplication.Modular form 88725.2.a.c
sage: E.q_eigenform(10)