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SageMath
E = EllipticCurve("bw1")
E.isogeny_class()
Elliptic curves in class 7350.bw
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
7350.bw1 | 7350br1 | \([1, 1, 1, -8, 41]\) | \(-6655/96\) | \(-823200\) | \([]\) | \(960\) | \(-0.18344\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 7350.bw1 has rank \(1\).
Complex multiplication
The elliptic curves in class 7350.bw do not have complex multiplication.Modular form 7350.2.a.bw
sage: E.q_eigenform(10)