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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 43350.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
43350.f1 | 43350p1 | \([1, 1, 0, -150, 6000]\) | \(-289/12\) | \(-15660187500\) | \([]\) | \(40320\) | \(0.63631\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 43350.f1 has rank \(2\).
Complex multiplication
The elliptic curves in class 43350.f do not have complex multiplication.Modular form 43350.2.a.f
sage: E.q_eigenform(10)