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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 8880b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
8880.m1 | 8880b1 | \([0, -1, 0, 15, 45]\) | \(1362944/4995\) | \(-1278720\) | \([]\) | \(960\) | \(-0.14534\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 8880b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 8880b do not have complex multiplication.Modular form 8880.2.a.b
sage: E.q_eigenform(10)