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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 6300.be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
6300.be1 | 6300r1 | \([0, 0, 0, -45, -135]\) | \(-34560/7\) | \(-2041200\) | \([]\) | \(1152\) | \(-0.066769\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 6300.be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 6300.be do not have complex multiplication.Modular form 6300.2.a.be
sage: E.q_eigenform(10)