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SageMath
E = EllipticCurve("a1")
E.isogeny_class()
Elliptic curves in class 3630a
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
3630.c1 | 3630a1 | \([1, 1, 0, -783, -8763]\) | \(439632699649/300000\) | \(36300000\) | \([]\) | \(2400\) | \(0.38825\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 3630a1 has rank \(0\).
Complex multiplication
The elliptic curves in class 3630a do not have complex multiplication.Modular form 3630.2.a.a
sage: E.q_eigenform(10)