Properties

Label 304200.b
Number of curves $1$
Conductor $304200$
CM no
Rank $2$

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Show commands: SageMath
E = EllipticCurve("b1")
 
E.isogeny_class()
 

Elliptic curves in class 304200.b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
304200.b1 304200b1 \([0, 0, 0, -13131300, 18315290500]\) \(-17790954496/195\) \(-2744620133580000000\) \([]\) \(15482880\) \(2.6922\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 304200.b1 has rank \(2\).

Complex multiplication

The elliptic curves in class 304200.b do not have complex multiplication.

Modular form 304200.2.a.b

sage: E.q_eigenform(10)
 
\(q - 5 q^{7} + q^{11} - 3 q^{17} - 6 q^{19} + O(q^{20})\) Copy content Toggle raw display