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SageMath
E = EllipticCurve("cs1")
E.isogeny_class()
Elliptic curves in class 28050.cs
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
28050.cs1 | 28050ca1 | \([1, 1, 1, -71588, -8992219]\) | \(-2596717791529849/718080000000\) | \(-11220000000000000\) | \([]\) | \(338688\) | \(1.7955\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 28050.cs1 has rank \(0\).
Complex multiplication
The elliptic curves in class 28050.cs do not have complex multiplication.Modular form 28050.2.a.cs
sage: E.q_eigenform(10)