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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 26284a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
26284.a1 | 26284a1 | \([0, 1, 0, -9, 16]\) | \(-5619712/6571\) | \(-105136\) | \([]\) | \(5256\) | \(-0.34236\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 26284a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 26284a do not have complex multiplication.Modular form 26284.2.a.a
sage: E.q_eigenform(10)