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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 388080.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
388080.b1 | 388080b1 | \([0, 0, 0, -273, 4403]\) | \(-3937024/12375\) | \(-7072758000\) | \([]\) | \(221184\) | \(0.57651\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 388080.b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 388080.b do not have complex multiplication.Modular form 388080.2.a.b
sage: E.q_eigenform(10)