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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 75810k
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 75810.h1 | 75810k1 | \([1, 1, 0, -2748217083, 55451806468317]\) | \(-334669406963386806593721825931/888017186570895360\) | \(-6090909882689771274240\) | \([]\) | \(48859200\) | \(3.8409\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75810k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 75810k do not have complex multiplication.Modular form 75810.2.a.k
sage: E.q_eigenform(10)