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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 148120k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
148120.o1 | 148120k1 | \([0, -1, 0, -8111, -422240]\) | \(-47104/35\) | \(-43854151757360\) | \([]\) | \(282624\) | \(1.3170\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 148120k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 148120k do not have complex multiplication.Modular form 148120.2.a.k
sage: E.q_eigenform(10)