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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 146205b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
146205.c1 | 146205b1 | \([0, 0, 1, -9747, -324088]\) | \(36864/5\) | \(13890061135845\) | \([]\) | \(486000\) | \(1.2490\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 146205b1 has rank \(1\).
Complex multiplication
The elliptic curves in class 146205b do not have complex multiplication.Modular form 146205.2.a.b
sage: E.q_eigenform(10)