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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 101478b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
101478.c1 | 101478b1 | \([1, 1, 0, -1008, -13056]\) | \(-113443164881929/3325231104\) | \(-3325231104\) | \([]\) | \(80896\) | \(0.60592\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 101478b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 101478b do not have complex multiplication.Modular form 101478.2.a.b
sage: E.q_eigenform(10)