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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 102550.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
102550.s1 | 102550bd1 | \([1, 1, 1, -263, 7281]\) | \(-5151505/57428\) | \(-22432812500\) | \([]\) | \(66240\) | \(0.66815\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102550.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 102550.s do not have complex multiplication.Modular form 102550.2.a.s
sage: E.q_eigenform(10)