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SageMath
E = EllipticCurve("bm1")
E.isogeny_class()
Elliptic curves in class 23104bm
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
23104.f1 | 23104bm1 | \([0, 0, 0, -12844, 560272]\) | \(-1042590744\) | \(-224755712\) | \([]\) | \(57600\) | \(0.89739\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 23104bm1 has rank \(2\).
Complex multiplication
The elliptic curves in class 23104bm do not have complex multiplication.Modular form 23104.2.a.bm
sage: E.q_eigenform(10)