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SageMath
E = EllipticCurve("b1")
E.isogeny_class()
Elliptic curves in class 3630b
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3630.b1 | 3630b1 | \([1, 1, 0, -4963, -55667]\) | \(63088729/30720\) | \(6585104824320\) | \([]\) | \(11616\) | \(1.1531\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3630b1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3630b do not have complex multiplication.Modular form 3630.2.a.b
sage: E.q_eigenform(10)