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SageMath
E = EllipticCurve("c1")
E.isogeny_class()
Elliptic curves in class 816c
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 816.a1 | 816c1 | \([0, -1, 0, -17, -51]\) | \(-2249728/4131\) | \(-1057536\) | \([]\) | \(160\) | \(-0.15400\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 816c1 has rank \(0\).
Complex multiplication
The elliptic curves in class 816c do not have complex multiplication.Modular form 816.2.a.c
sage: E.q_eigenform(10)