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SageMath
E = EllipticCurve("k1")
E.isogeny_class()
Elliptic curves in class 75150.k
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 75150.k1 | 75150d1 | \([1, -1, 0, 80958, -6587884]\) | \(190804533093/171008000\) | \(-52592976000000000\) | \([]\) | \(718848\) | \(1.8958\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75150.k1 has rank \(0\).
Complex multiplication
The elliptic curves in class 75150.k do not have complex multiplication.Modular form 75150.2.a.k
sage: E.q_eigenform(10)