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SageMath
E = EllipticCurve("s1")
E.isogeny_class()
Elliptic curves in class 302330s
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
302330.s1 | 302330s1 | \([1, -1, 0, 971, 1973]\) | \(42144182199/25272320\) | \(-60678840320\) | \([]\) | \(542880\) | \(0.75836\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 302330s1 has rank \(1\).
Complex multiplication
The elliptic curves in class 302330s do not have complex multiplication.Modular form 302330.2.a.s
sage: E.q_eigenform(10)