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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 234416.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
234416.k1 | 234416k1 | \([0, -1, 0, -10992, -456896]\) | \(-304821217/13754\) | \(-6627919241216\) | \([]\) | \(380160\) | \(1.2245\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 234416.k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 234416.k do not have complex multiplication.Modular form 234416.2.a.k
sage: E.q_eigenform(10)