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SageMath
E = EllipticCurve("ex1")
E.isogeny_class()
Elliptic curves in class 444675.ex
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 444675.ex1 | 444675ex1 | \([0, 1, 1, 80733217, 145698454094]\) | \(17869652393984/13156171875\) | \(-42844385235116590576171875\) | \([]\) | \(108380160\) | \(3.6066\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 444675.ex1 has rank \(0\).
Complex multiplication
The elliptic curves in class 444675.ex do not have complex multiplication.Modular form 444675.2.a.ex
sage: E.q_eigenform(10)