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SageMath
E = EllipticCurve("ba1")
E.isogeny_class()
Elliptic curves in class 50400.ba
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
50400.ba1 | 50400t1 | \([0, 0, 0, -67800, 6802000]\) | \(-738763264/875\) | \(-40824000000000\) | \([]\) | \(138240\) | \(1.5232\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 50400.ba1 has rank \(0\).
Complex multiplication
The elliptic curves in class 50400.ba do not have complex multiplication.Modular form 50400.2.a.ba
sage: E.q_eigenform(10)