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SageMath
E = EllipticCurve("fi1")
E.isogeny_class()
Elliptic curves in class 149058fi
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 149058.br1 | 149058fi1 | \([1, -1, 0, -560520, -185497376]\) | \(-47045881/8736\) | \(-3616500317870198304\) | \([]\) | \(2580480\) | \(2.2855\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 149058fi1 has rank \(1\).
Complex multiplication
The elliptic curves in class 149058fi do not have complex multiplication.Modular form 149058.2.a.fi
sage: E.q_eigenform(10)