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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 1400k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
1400.c1 | 1400k1 | \([0, 1, 0, -28, -147]\) | \(-6288640/16807\) | \(-6722800\) | \([]\) | \(240\) | \(-0.0024397\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 1400k1 has rank \(1\).
Complex multiplication
The elliptic curves in class 1400k do not have complex multiplication.Modular form 1400.2.a.k
sage: E.q_eigenform(10)