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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 379260br
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 379260.br1 | 379260br1 | \([0, 0, 0, -2048592, 1132540724]\) | \(-43304636317696/176326875\) | \(-3871455256781280000\) | \([]\) | \(8847360\) | \(2.4228\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 379260br1 has rank \(0\).
Complex multiplication
The elliptic curves in class 379260br do not have complex multiplication.Modular form 379260.2.a.br
sage: E.q_eigenform(10)