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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 47652.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47652.f1 | 47652a1 | \([0, -1, 0, -481, -5522]\) | \(-5914624/3267\) | \(-6812139312\) | \([]\) | \(60912\) | \(0.59032\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47652.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 47652.f do not have complex multiplication.Modular form 47652.2.a.f
sage: E.q_eigenform(10)