Properties

Label 68400bm
Number of curves $1$
Conductor $68400$
CM no
Rank $0$

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Show commands: SageMath
E = EllipticCurve("bm1")
 
E.isogeny_class()
 

Elliptic curves in class 68400bm

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
68400.fn1 68400bm1 \([0, 0, 0, -1875, -44750]\) \(-31250/19\) \(-443232000000\) \([]\) \(69120\) \(0.93685\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 68400bm1 has rank \(0\).

Complex multiplication

The elliptic curves in class 68400bm do not have complex multiplication.

Modular form 68400.2.a.bm

sage: E.q_eigenform(10)
 
\(q + 3 q^{7} + 2 q^{11} - q^{13} - 5 q^{17} - q^{19} + O(q^{20})\) Copy content Toggle raw display