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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 545723.a
sage: E.isogeny_class().curves
LMFDB label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height |
---|---|---|---|---|---|---|
545723.a1 | \([0, 0, 1, -7, 36]\) | \(-37933056/545723\) | \(-545723\) | \([]\) | \(514560\) | \(-0.21769\) |
Rank
sage: E.rank()
The elliptic curve 545723.a1 has rank \(4\).
Complex multiplication
The elliptic curves in class 545723.a do not have complex multiplication.Modular form 545723.2.a.a
sage: E.q_eigenform(10)