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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 301392.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
301392.k1 | 301392k1 | \([0, 0, 0, -220464, -55834704]\) | \(-396870925750272/221358574619\) | \(-660973162075140096\) | \([]\) | \(4166400\) | \(2.1227\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 301392.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 301392.k do not have complex multiplication.Modular form 301392.2.a.k
sage: E.q_eigenform(10)