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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 75150k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
75150.a1 | 75150k1 | \([1, -1, 0, 558, 33966]\) | \(1685159/45090\) | \(-513603281250\) | \([]\) | \(165888\) | \(0.92718\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75150k1 has rank \(2\).
Complex multiplication
The elliptic curves in class 75150k do not have complex multiplication.Modular form 75150.2.a.k
sage: E.q_eigenform(10)