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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 39039.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
39039.w1 | 39039u1 | \([1, 0, 1, 48, 67]\) | \(74559407/53361\) | \(-9018009\) | \([]\) | \(8832\) | \(0.022972\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 39039.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 39039.w do not have complex multiplication.Modular form 39039.2.a.w
sage: E.q_eigenform(10)