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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 11025.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
11025.b1 | 11025be1 | \([0, 0, 1, -77175, 14180906]\) | \(-110592/125\) | \(-57456600591796875\) | \([]\) | \(112896\) | \(1.9102\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 11025.b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 11025.b do not have complex multiplication.Modular form 11025.2.a.b
sage: E.q_eigenform(10)