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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 179776s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
179776.b1 | 179776s1 | \([0, 0, 0, 56180, 26202352]\) | \(3375/53\) | \(-307943477041430528\) | \([]\) | \(2875392\) | \(2.0363\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 179776s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 179776s do not have complex multiplication.Modular form 179776.2.a.s
sage: E.q_eigenform(10)