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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 2450k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2450.a1 | 2450k1 | \([1, -1, 0, -220117, -42920459]\) | \(-1026590625/100352\) | \(-115296020000000000\) | \([]\) | \(63360\) | \(2.0148\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2450k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 2450k do not have complex multiplication.Modular form 2450.2.a.k
sage: E.q_eigenform(10)