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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 106470b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
106470.q1 | 106470b1 | \([1, -1, 0, -204645, -35581675]\) | \(207719778895841043/14000000\) | \(63882000000\) | \([]\) | \(419328\) | \(1.5293\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 106470b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 106470b do not have complex multiplication.Modular form 106470.2.a.b
sage: E.q_eigenform(10)