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SageMath
E = EllipticCurve("be1")
E.isogeny_class()
Elliptic curves in class 24480be
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
24480.be1 | 24480be1 | \([0, 0, 0, 573, -4246]\) | \(55742968/53125\) | \(-19828800000\) | \([]\) | \(14400\) | \(0.66299\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 24480be1 has rank \(0\).
Complex multiplication
The elliptic curves in class 24480be do not have complex multiplication.Modular form 24480.2.a.be
sage: E.q_eigenform(10)