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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 30446b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
30446.g1 | 30446b1 | \([1, 0, 1, 101, 4]\) | \(115572468311/66889862\) | \(-66889862\) | \([]\) | \(9696\) | \(0.19101\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 30446b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 30446b do not have complex multiplication.Modular form 30446.2.a.b
sage: E.q_eigenform(10)