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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 200400.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
200400.a1 | 200400x1 | \([0, -1, 0, -25543458, -28356712713]\) | \(58981087897955969792/23009975574323229\) | \(719061736697600906250000\) | \([]\) | \(36537600\) | \(3.2764\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 200400.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 200400.a do not have complex multiplication.Modular form 200400.2.a.a
sage: E.q_eigenform(10)