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SageMath
E = EllipticCurve("cs1")
E.isogeny_class()
Elliptic curves in class 106134cs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
106134.db1 | 106134cs1 | \([1, 0, 0, 23577805, 35325105633]\) | \(628805222251722551/597713542447104\) | \(-1377878049312690275352576\) | \([]\) | \(20321280\) | \(3.3190\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 106134cs1 has rank \(1\).
Complex multiplication
The elliptic curves in class 106134cs do not have complex multiplication.Modular form 106134.2.a.cs
sage: E.q_eigenform(10)