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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 1594.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1594.a1 | 1594a1 | \([1, -1, 1, -27, 75]\) | \(-2102071041/816128\) | \(-816128\) | \([]\) | \(960\) | \(-0.15634\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1594.a1 has rank \(2\).
Complex multiplication
The elliptic curves in class 1594.a do not have complex multiplication.Modular form 1594.2.a.a
sage: E.q_eigenform(10)