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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 63525.s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
63525.s1 | 63525bk1 | \([1, 0, 0, 9012, -1818783]\) | \(24167/441\) | \(-1477066664390625\) | \([]\) | \(342144\) | \(1.5912\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 63525.s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 63525.s do not have complex multiplication.Modular form 63525.2.a.s
sage: E.q_eigenform(10)