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SageMath
E = EllipticCurve("if1")
E.isogeny_class()
Elliptic curves in class 394944.if
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 394944.if1 | 394944if1 | \([0, 1, 0, -4938897, -109633977]\) | \(501633924352/290107737\) | \(7705239095914739647488\) | \([]\) | \(20275200\) | \(2.8892\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 394944.if1 has rank \(0\).
Complex multiplication
The elliptic curves in class 394944.if do not have complex multiplication.Modular form 394944.2.a.if
sage: E.q_eigenform(10)