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Properties

Label 412200.b
Number of curves $1$
Conductor $412200$
CM no
Rank $2$

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

Rank

Copy content sage:E.rank()
 

The elliptic curve 412200.b1 has rank \(2\).

Complex multiplication

The elliptic curves in class 412200.b do not have complex multiplication.

Modular form 412200.2.a.b

Copy content sage:E.q_eigenform(10)
 
\(q - 4 q^{7} - 4 q^{11} + 2 q^{13} - 6 q^{17} + q^{19} + O(q^{20})\) Copy content Toggle raw display

Elliptic curves in class 412200.b

Copy content sage:E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
412200.b1 412200b1 \([0, 0, 0, -375, 3375]\) \(-864000/229\) \(-1545750000\) \([]\) \(221184\) \(0.47987\) \(\Gamma_0(N)\)-optimal