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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 93600.w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
93600.w1 | 93600l1 | \([0, 0, 0, 120, -400]\) | \(13824/13\) | \(-179712000\) | \([]\) | \(26624\) | \(0.27109\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 93600.w1 has rank \(2\).
Complex multiplication
The elliptic curves in class 93600.w do not have complex multiplication.Modular form 93600.2.a.w
sage: E.q_eigenform(10)