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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 215950.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
215950.f1 | 215950r1 | \([1, 1, 0, -875, -612875]\) | \(-4750104241/10369919000\) | \(-162029984375000\) | \([]\) | \(803520\) | \(1.4055\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 215950.f1 has rank \(0\).
Complex multiplication
The elliptic curves in class 215950.f do not have complex multiplication.Modular form 215950.2.a.f
sage: E.q_eigenform(10)