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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 9900be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
9900.bb1 | 9900be1 | \([0, 0, 0, -2775, 62350]\) | \(-20261200/2673\) | \(-311778720000\) | \([]\) | \(11520\) | \(0.93834\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 9900be1 has rank \(1\).
Complex multiplication
The elliptic curves in class 9900be do not have complex multiplication.Modular form 9900.2.a.be
sage: E.q_eigenform(10)