Properties

Label 30960bd
Number of curves $1$
Conductor $30960$
CM no
Rank $1$

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

Elliptic curves in class 30960bd

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30960.h1 30960bd1 \([0, 0, 0, 2472, -19348]\) \(8951619584/6046875\) \(-1128492000000\) \([]\) \(36864\) \(1.0013\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30960bd1 has rank \(1\).

Complex multiplication

The elliptic curves in class 30960bd do not have complex multiplication.

Modular form 30960.2.a.bd

sage: E.q_eigenform(10)
 
\(q - q^{5} - 5q^{11} - 3q^{13} + 3q^{17} - 4q^{19} + O(q^{20})\)  Toggle raw display