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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 138600.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
138600.w1 | 138600de1 | \([0, 0, 0, -25875, -2261250]\) | \(-6570180/3773\) | \(-1100206800000000\) | \([]\) | \(403200\) | \(1.5891\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 138600.w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 138600.w do not have complex multiplication.Modular form 138600.2.a.w
sage: E.q_eigenform(10)