Properties

Label 30815b
Number of curves $1$
Conductor $30815$
CM no
Rank $2$

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

Elliptic curves in class 30815b

sage: E.isogeny_class().curves
 
LMFDB label Cremona label Weierstrass coefficients j-invariant Discriminant Torsion structure Modular degree Faltings height Optimality
30815.b1 30815b1 \([0, 0, 1, 328, -11580]\) \(3902520950784/60185546875\) \(-60185546875\) \([]\) \(17120\) \(0.74901\) \(\Gamma_0(N)\)-optimal

Rank

sage: E.rank()
 

The elliptic curve 30815b1 has rank \(2\).

Complex multiplication

The elliptic curves in class 30815b do not have complex multiplication.

Modular form 30815.2.a.b

sage: E.q_eigenform(10)
 
\(q - 2 q^{4} + q^{5} - 3 q^{9} + 2 q^{11} - 6 q^{13} + 4 q^{16} - 5 q^{17} - 2 q^{19} + O(q^{20})\) Copy content Toggle raw display