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SageMath
E = EllipticCurve("dh1")
E.isogeny_class()
Elliptic curves in class 253575dh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
253575.dh1 | 253575dh1 | \([0, 0, 1, -3785250, 2834841406]\) | \(-35806478336/3703\) | \(-620296769654296875\) | \([]\) | \(3916800\) | \(2.4466\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 253575dh1 has rank \(2\).
Complex multiplication
The elliptic curves in class 253575dh do not have complex multiplication.Modular form 253575.2.a.dh
sage: E.q_eigenform(10)