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SageMath
E = EllipticCurve("rl1")
E.isogeny_class()
Elliptic curves in class 435600rl
sage: E.isogeny_class().curves
LMFDB label | Cremona label | Weierstrass coefficients | j-invariant | Discriminant | Torsion structure | Modular degree | Faltings height | Optimality |
---|---|---|---|---|---|---|---|---|
435600.rl1 | 435600rl1 | \([0, 0, 0, -226875, 224606250]\) | \(-675/11\) | \(-21046144680000000000\) | \([]\) | \(7372800\) | \(2.3890\) | \(\Gamma_0(N)\)-optimal |
Rank
sage: E.rank()
The elliptic curve 435600rl1 has rank \(1\).
Complex multiplication
The elliptic curves in class 435600rl do not have complex multiplication.Modular form 435600.2.a.rl
sage: E.q_eigenform(10)