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SageMath
E = EllipticCurve("i1")
E.isogeny_class()
Elliptic curves in class 102550i
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
102550.n1 | 102550i1 | \([1, 0, 1, -1501, -73352]\) | \(-23912763841/134414336\) | \(-2100224000000\) | \([]\) | \(143360\) | \(1.0484\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 102550i1 has rank \(2\).
Complex multiplication
The elliptic curves in class 102550i do not have complex multiplication.Modular form 102550.2.a.i
sage: E.q_eigenform(10)