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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 158400.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
158400.f1 | 158400jx1 | \([0, 0, 0, 420, 3440]\) | \(27440/33\) | \(-9853747200\) | \([]\) | \(147456\) | \(0.60379\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 158400.f1 has rank \(1\).
Complex multiplication
The elliptic curves in class 158400.f do not have complex multiplication.Modular form 158400.2.a.f
sage: E.q_eigenform(10)