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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 135240br
sage: E.isogeny_class().curves
| LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
|---|---|---|---|---|---|---|---|---|
| 135240.d1 | 135240br1 | \([0, -1, 0, 373119, -385911819]\) | \(190737654201344/2245153696875\) | \(-67619862344613600000\) | \([]\) | \(3168000\) | \(2.4860\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 135240br1 has rank \(0\).
Complex multiplication
The elliptic curves in class 135240br do not have complex multiplication.Modular form 135240.2.a.br
sage: E.q_eigenform(10)