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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 5077.a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5077.a1 | 5077a1 | \([0, 0, 1, -7, 6]\) | \(37933056/5077\) | \(5077\) | \([]\) | \(1984\) | \(-0.56139\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5077.a1 has rank \(3\).
Complex multiplication
The elliptic curves in class 5077.a do not have complex multiplication.Modular form 5077.2.a.a
sage: E.q_eigenform(10)