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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 4026.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4026.a1 | 4026a1 | \([1, 1, 0, -82, -332]\) | \(-62146192681/2318976\) | \(-2318976\) | \([]\) | \(672\) | \(-0.0080198\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4026.a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 4026.a do not have complex multiplication.Modular form 4026.2.a.a
sage: E.q_eigenform(10)