Properties

Label 30345bd
Number of curves $1$
Conductor $30345$
CM no
Rank $1$

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Show commands: SageMath
E = EllipticCurve("bd1")
 
E.isogeny_class()
 

Elliptic curves in class 30345bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30345.q1 30345bd1 \([0, 1, 1, 805, 7394]\) \(11728027648/11252115\) \(-55281640995\) \([]\) \(27648\) \(0.74841\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30345bd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 30345bd do not have complex multiplication.

Modular form 30345.2.a.bd

sage: E.q_eigenform(10)
 
\(q + q^{3} - 2 q^{4} + q^{5} - q^{7} + q^{9} - 6 q^{11} - 2 q^{12} + 5 q^{13} + q^{15} + 4 q^{16} + O(q^{20})\) Copy content Toggle raw display