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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 35574b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
35574.d1 | 35574b1 | \([1, 1, 0, 1494, 115284]\) | \(48013/768\) | \(-5892825700608\) | \([]\) | \(80640\) | \(1.1310\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 35574b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 35574b do not have complex multiplication.Modular form 35574.2.a.b
sage: E.q_eigenform(10)