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SageMath
E = EllipticCurve("ht1")
E.isogeny_class()
Elliptic curves in class 221760.ht
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
221760.ht1 | 221760kd1 | \([0, 0, 0, 19608, -551374]\) | \(17869652393984/13156171875\) | \(-613814355000000\) | \([]\) | \(903168\) | \(1.5258\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 221760.ht1 has rank \(1\).
Complex multiplication
The elliptic curves in class 221760.ht do not have complex multiplication.Modular form 221760.2.a.ht
sage: E.q_eigenform(10)