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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 3300b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3300.a1 | 3300b1 | \([0, -1, 0, -7708, -286088]\) | \(-20261200/2673\) | \(-6682500000000\) | \([]\) | \(7200\) | \(1.1938\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3300b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3300b do not have complex multiplication.Modular form 3300.2.a.b
sage: E.q_eigenform(10)