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SageMath
E = EllipticCurve("eh1")
E.isogeny_class()
Elliptic curves in class 110400eh
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
110400.fv1 | 110400eh1 | \([0, 1, 0, -20133, 1095363]\) | \(-3525581824/9315\) | \(-2384640000000\) | \([]\) | \(294912\) | \(1.2500\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 110400eh1 has rank \(1\).
Complex multiplication
The elliptic curves in class 110400eh do not have complex multiplication.Modular form 110400.2.a.eh
sage: E.q_eigenform(10)