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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 24400.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
24400.b1 | 24400s1 | \([0, 0, 0, -301435, 63910570]\) | \(-29580450758086905/113425129472\) | \(-11614733257932800\) | \([]\) | \(359424\) | \(1.9413\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 24400.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 24400.b do not have complex multiplication.Modular form 24400.2.a.b
sage: E.q_eigenform(10)