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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 59248.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
59248.k1 | 59248k1 | \([0, -1, 0, -14988, 715639]\) | \(-157216000/1127\) | \(-2669383150448\) | \([]\) | \(101376\) | \(1.2168\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 59248.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 59248.k do not have complex multiplication.Modular form 59248.2.a.k
sage: E.q_eigenform(10)