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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 15246w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
15246.u1 | 15246w1 | \([1, -1, 0, -10368, -559872]\) | \(-1397395501513/740710656\) | \(-65337346255104\) | \([]\) | \(61440\) | \(1.3550\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 15246w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 15246w do not have complex multiplication.Modular form 15246.2.a.w
sage: E.q_eigenform(10)