Properties

Label 75456bh
Number of curves $1$
Conductor $75456$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bh1")
 
E.isogeny_class()
 

Elliptic curves in class 75456bh

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
75456.l1 75456bh1 \([0, 0, 0, -9516, -796624]\) \(-498677257/1145988\) \(-219001717260288\) \([]\) \(258048\) \(1.4401\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 75456bh1 has rank \(1\).

Complex multiplication

The elliptic curves in class 75456bh do not have complex multiplication.

Modular form 75456.2.a.bh

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