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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 155298w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
155298.k1 | 155298w1 | \([1, 0, 1, -644, 6230]\) | \(-29472131485369/2795364\) | \(-2795364\) | \([]\) | \(49728\) | \(0.27399\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 155298w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 155298w do not have complex multiplication.Modular form 155298.2.a.w
sage: E.q_eigenform(10)