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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 21294.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
21294.b1 | 21294v1 | \([1, -1, 0, -143766, -38836472]\) | \(-552611137/777924\) | \(-462606272438935716\) | \([]\) | \(399360\) | \(2.0819\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 21294.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 21294.b do not have complex multiplication.Modular form 21294.2.a.b
sage: E.q_eigenform(10)