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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 374790.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
374790.w1 | 374790w1 | \([1, 1, 0, 3003, 44109]\) | \(3114872914919/2628288000\) | \(-2525784768000\) | \([]\) | \(907200\) | \(1.0675\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 374790.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 374790.w do not have complex multiplication.Modular form 374790.2.a.w
sage: E.q_eigenform(10)