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SageMath
E = EllipticCurve("dh1")
E.isogeny_class()
Elliptic curves in class 333960dh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
333960.dh1 | 333960dh1 | \([0, 1, 0, 921375, -1496728125]\) | \(190737654201344/2245153696875\) | \(-1018221242467730400000\) | \([]\) | \(12288000\) | \(2.7119\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 333960dh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 333960dh do not have complex multiplication.Modular form 333960.2.a.dh
sage: E.q_eigenform(10)