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SageMath
E = EllipticCurve("r1")
E.isogeny_class()
Elliptic curves in class 310464.r
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
310464.r1 | 310464r1 | \([0, 0, 0, -17645292, -28529066160]\) | \(551516475321/5632\) | \(6204608972096274432\) | \([]\) | \(16257024\) | \(2.7642\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 310464.r1 has rank \(0\).
Complex multiplication
The elliptic curves in class 310464.r do not have complex multiplication.Modular form 310464.2.a.r
sage: E.q_eigenform(10)