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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 254100.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
254100.s1 | 254100s1 | \([0, -1, 0, 147, 882]\) | \(7208960/11907\) | \(-576298800\) | \([]\) | \(120960\) | \(0.36608\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 254100.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 254100.s do not have complex multiplication.Modular form 254100.2.a.s
sage: E.q_eigenform(10)