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SageMath
E = EllipticCurve("w1")
E.isogeny_class()
Elliptic curves in class 369600w
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
369600.w1 | 369600w1 | \([0, -1, 0, -23233, -2660063]\) | \(-67721774600/110937519\) | \(-2272000389120000\) | \([]\) | \(1797120\) | \(1.6376\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 369600w1 has rank \(1\).
Complex multiplication
The elliptic curves in class 369600w do not have complex multiplication.Modular form 369600.2.a.w
sage: E.q_eigenform(10)