Properties

Label 30912.c
Number of curves $1$
Conductor $30912$
CM no
Rank $0$

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Show commands for: SageMath
sage: E = EllipticCurve("c1")
 
sage: E.isogeny_class()
 

Elliptic curves in class 30912.c

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30912.c1 30912g1 \([0, -1, 0, 582143, 114531841]\) \(83228502970940543/69854999176704\) \(-18312068904177893376\) \([]\) \(760320\) \(2.3839\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30912.c1 has rank \(0\).

Complex multiplication

The elliptic curves in class 30912.c do not have complex multiplication.

Modular form 30912.2.a.c

sage: E.q_eigenform(10)
 
\(q - q^{3} - 3q^{5} - q^{7} + q^{9} - 4q^{11} + 3q^{13} + 3q^{15} - 4q^{17} + O(q^{20})\)  Toggle raw display