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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 70805.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
70805.w1 | 70805ba1 | \([1, 0, 0, -295, 238762]\) | \(-49/425\) | \(-24630578846825\) | \([]\) | \(138240\) | \(1.2485\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 70805.w1 has rank \(0\).
Complex multiplication
The elliptic curves in class 70805.w do not have complex multiplication.Modular form 70805.2.a.w
sage: E.q_eigenform(10)