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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 18515s
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 18515.s1 | 18515s1 | \([0, 0, 1, -751932767, 7901491202405]\) | \(1134964776505135104/5744580078125\) | \(237977911024149960986328125\) | \([]\) | \(11803968\) | \(3.9078\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 18515s1 has rank \(0\).
Complex multiplication
The elliptic curves in class 18515s do not have complex multiplication.Modular form 18515.2.a.s
sage: E.q_eigenform(10)