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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 94192.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
94192.w1 | 94192m1 | \([0, 1, 0, 154464, 1397376788]\) | \(397822/823543\) | \(-843723636058400405504\) | \([]\) | \(3702720\) | \(2.6943\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 94192.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 94192.w do not have complex multiplication.Modular form 94192.2.a.w
sage: E.q_eigenform(10)