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SageMath
E = EllipticCurve("dh1")
E.isogeny_class()
Elliptic curves in class 44100dh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
44100.r1 | 44100dh1 | \([0, 0, 0, -17640, 926100]\) | \(-221184/7\) | \(-19211611104000\) | \([]\) | \(96768\) | \(1.3251\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 44100dh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 44100dh do not have complex multiplication.Modular form 44100.2.a.dh
sage: E.q_eigenform(10)