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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 4102.b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
4102.b1 | 4102a1 | \([1, 1, 0, 12, 64]\) | \(167284151/1607984\) | \(-1607984\) | \([]\) | \(768\) | \(-0.12795\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 4102.b1 has rank \(2\).
Complex multiplication
The elliptic curves in class 4102.b do not have complex multiplication.Modular form 4102.2.a.b
sage: E.q_eigenform(10)