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SageMath
E = EllipticCurve("h1")
E.isogeny_class()
Elliptic curves in class 5544h
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
5544.w1 | 5544h1 | \([0, 0, 0, -111, -14933]\) | \(-12967168/8251551\) | \(-96246090864\) | \([]\) | \(5376\) | \(0.78658\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 5544h1 has rank \(1\).
Complex multiplication
The elliptic curves in class 5544h do not have complex multiplication.Modular form 5544.2.a.h
sage: E.q_eigenform(10)