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SageMath
E = EllipticCurve("y1")
E.isogeny_class()
Elliptic curves in class 5712y
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5712.n1 | 5712y1 | \([0, 1, 0, -2460477, -1486414521]\) | \(-6434900743458429657088/395758108932291\) | \(-101314075886666496\) | \([]\) | \(120960\) | \(2.3230\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5712y1 has rank \(0\).
Complex multiplication
The elliptic curves in class 5712y do not have complex multiplication.Modular form 5712.2.a.y
sage: E.q_eigenform(10)