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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 2240.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
2240.b1 | 2240v1 | \([0, 0, 0, 2, -2]\) | \(13824/35\) | \(-2240\) | \([]\) | \(192\) | \(-0.67336\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 2240.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 2240.b do not have complex multiplication.Modular form 2240.2.a.b
sage: E.q_eigenform(10)