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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 350064a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
350064.a1 | 350064a1 | \([0, 0, 0, -11907, -39599550]\) | \(-2315685267/8401246711\) | \(-677321682995662848\) | \([]\) | \(9216000\) | \(2.1003\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 350064a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 350064a do not have complex multiplication.Modular form 350064.2.a.a
sage: E.q_eigenform(10)