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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 6336s
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 6336.h1 | 6336s1 | \([0, 0, 0, -144, -864]\) | \(-27648/11\) | \(-131383296\) | \([]\) | \(1792\) | \(0.26667\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6336s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6336s do not have complex multiplication.Modular form 6336.2.a.s
sage: E.q_eigenform(10)