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SageMath
E = EllipticCurve("eb1")
E.isogeny_class()
Elliptic curves in class 203840eb
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
203840.br1 | 203840eb1 | \([0, -1, 0, -4589601, -3969890399]\) | \(-693346671296498/40610171875\) | \(-626228738250752000000\) | \([]\) | \(9584640\) | \(2.7465\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 203840eb1 has rank \(0\).
Complex multiplication
The elliptic curves in class 203840eb do not have complex multiplication.Modular form 203840.2.a.eb
sage: E.q_eigenform(10)