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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 47937f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
47937.f1 | 47937f1 | \([0, 1, 1, -1962, 36155]\) | \(-1404928/171\) | \(-101714787891\) | \([]\) | \(100352\) | \(0.84710\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 47937f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 47937f do not have complex multiplication.Modular form 47937.2.a.f
sage: E.q_eigenform(10)