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SageMath
E = EllipticCurve("lh1")
E.isogeny_class()
Elliptic curves in class 176400lh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
176400.x1 | 176400lh1 | \([0, 0, 0, -2340975, -1437838850]\) | \(-43061200/2187\) | \(-72057085825828320000\) | \([]\) | \(7225344\) | \(2.5708\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 176400lh1 has rank \(0\).
Complex multiplication
The elliptic curves in class 176400lh do not have complex multiplication.Modular form 176400.2.a.lh
sage: E.q_eigenform(10)