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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 273600.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
273600.k1 | 273600k1 | \([0, 0, 0, -3150, -2045250]\) | \(-4741632/2476099\) | \(-1805076171000000\) | \([]\) | \(1658880\) | \(1.6065\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 273600.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 273600.k do not have complex multiplication.Modular form 273600.2.a.k
sage: E.q_eigenform(10)