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SageMath
E = EllipticCurve("br1")
E.isogeny_class()
Elliptic curves in class 144400br
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
144400.cy1 | 144400br1 | \([0, 0, 0, -6886075, 7426582250]\) | \(-11993263569/972800\) | \(-2929038914355200000000\) | \([]\) | \(18247680\) | \(2.8653\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 144400br1 has rank \(1\).
Complex multiplication
The elliptic curves in class 144400br do not have complex multiplication.Modular form 144400.2.a.br
sage: E.q_eigenform(10)