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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 64715a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
64715.f1 | 64715a1 | \([0, -1, 1, -616, 6812041]\) | \(-4096/3171035\) | \(-20045263476085715\) | \([]\) | \(576576\) | \(1.8069\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 64715a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 64715a do not have complex multiplication.Modular form 64715.2.a.a
sage: E.q_eigenform(10)