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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 372810.k
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
372810.k1 | 372810k1 | \([1, 1, 0, 34746456267, -16465003631667027]\) | \(192203697666261893287480365959/4963160303408775168000000000\) | \(-119798624281590245823086592000000000\) | \([]\) | \(5539000320\) | \(5.4111\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 372810.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 372810.k do not have complex multiplication.Modular form 372810.2.a.k
sage: E.q_eigenform(10)