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SageMath
E = EllipticCurve("d1")
E.isogeny_class()
Elliptic curves in class 75150.d
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 75150.d1 | 75150o1 | \([1, -1, 0, 126783, -5557059]\) | \(19785968032823/12608077824\) | \(-143613886464000000\) | \([]\) | \(953856\) | \(1.9811\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 75150.d1 has rank \(1\).
Complex multiplication
The elliptic curves in class 75150.d do not have complex multiplication.Modular form 75150.2.a.d
sage: E.q_eigenform(10)