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SageMath
E = EllipticCurve("q1")
E.isogeny_class()
Elliptic curves in class 5712q
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5712.s1 | 5712q1 | \([0, 1, 0, -233560, 43478036]\) | \(-344002044213921241/1011143540736\) | \(-4141643942854656\) | \([]\) | \(48960\) | \(1.8670\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5712q1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5712q do not have complex multiplication.Modular form 5712.2.a.q
sage: E.q_eigenform(10)