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SageMath
E = EllipticCurve("f1")
E.isogeny_class()
Elliptic curves in class 250173.f
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
250173.f1 | 250173f1 | \([1, -1, 1, -2804, 61924]\) | \(-13160971881/1127357\) | \(-208778624901\) | \([]\) | \(294400\) | \(0.91670\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 250173.f1 has rank \(2\).
Complex multiplication
The elliptic curves in class 250173.f do not have complex multiplication.Modular form 250173.2.a.f
sage: E.q_eigenform(10)