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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 235950.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
235950.a1 | 235950a1 | \([1, 1, 0, -39780325, -96995585375]\) | \(-402413512831225/1967766372\) | \(-34043146110807539062500\) | \([]\) | \(55641600\) | \(3.1718\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 235950.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 235950.a do not have complex multiplication.Modular form 235950.2.a.a
sage: E.q_eigenform(10)