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SageMath
E = EllipticCurve("fn1")
E.isogeny_class()
Elliptic curves in class 130050fn
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
130050.ci1 | 130050fn1 | \([1, -1, 0, -10917, -1037259]\) | \(-43713001/116640\) | \(-383966122500000\) | \([]\) | \(414720\) | \(1.4860\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 130050fn1 has rank \(0\).
Complex multiplication
The elliptic curves in class 130050fn do not have complex multiplication.Modular form 130050.2.a.fn
sage: E.q_eigenform(10)