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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 348726.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
348726.f1 | 348726f1 | \([1, 1, 0, 235365, 52160157]\) | \(30649603997375/42625916928\) | \(-2005373815310573568\) | \([]\) | \(5990400\) | \(2.1975\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 348726.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 348726.f do not have complex multiplication.Modular form 348726.2.a.f
sage: E.q_eigenform(10)