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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 344800.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
344800.f1 | 344800f1 | \([0, -1, 0, -158, 1312]\) | \(-438976/431\) | \(-431000000\) | \([]\) | \(107520\) | \(0.35272\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 344800.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 344800.f do not have complex multiplication.Modular form 344800.2.a.f
sage: E.q_eigenform(10)