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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 1856.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1856.a1 | 1856p1 | \([0, 0, 0, -19324, 1033936]\) | \(-48707390098512/29\) | \(-475136\) | \([]\) | \(3840\) | \(0.84737\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1856.a1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1856.a do not have complex multiplication.Modular form 1856.2.a.a
sage: E.q_eigenform(10)