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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 440818.s
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 440818.s1 | 440818s1 | \([1, 1, 1, -27156631935, 1722096303270829]\) | \(460610877654969986809/124793045404216\) | \(600077887917144129741458251384\) | \([]\) | \(1056222720\) | \(4.6970\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 440818.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 440818.s do not have complex multiplication.Modular form 440818.2.a.s
sage: E.q_eigenform(10)